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Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)
Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.
In the light of the above statements, choose the correct answer from the options given below.
Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.
In the light of the above statements, choose the correct answer from the options given below.
- a)Statement I is incorrect and statement II is correct.
- b)Statement I is correct and statement II is incorrect.
- c)Both statement I and statement II are incorrect.
- d)Both statement I and statement II are correct.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Statement I: A cyclist is moving on an unbanked road with a speed of 7...
Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s^2)
To determine whether the cyclist will slip or not, we need to compare the centripetal force required to keep the cyclist in circular motion with the maximum frictional force available.
The centripetal force required to keep the cyclist in circular motion can be calculated using the equation:
F_c = m * (v^2 / r)
Where:
F_c = Centripetal force
m = Mass of the cyclist
v = Velocity of the cyclist
r = Radius of the circular path
Given that the speed of the cyclist is 7 km/h = 7 * 1000 / 3600 = 1.94 m/s and the radius of the path is 2 m, we can substitute these values into the equation:
F_c = m * (1.94^2 / 2)
Next, we need to calculate the maximum frictional force available using the equation:
F_friction = μ * N
Where:
F_friction = Frictional force
μ = Coefficient of static friction
N = Normal force
Since the road is unbanked, the normal force is equal to the weight of the cyclist, which can be calculated using the equation:
N = m * g
Where:
g = Acceleration due to gravity
Given that the static friction coefficient is 0.2 and the acceleration due to gravity is 9.8 m/s^2, we can substitute these values into the equation:
F_friction = 0.2 * (m * g)
Now, if the cyclist does not slip, the maximum frictional force available (F_friction) should be greater than or equal to the centripetal force required (F_c).
Therefore, the inequality can be written as:
0.2 * (m * g) ≥ m * (1.94^2 / 2)
The mass of the cyclist (m) cancels out on both sides.
0.2 * g ≥ 1.94^2 / 2
Substituting the value of g = 9.8 m/s^2:
0.2 * 9.8 ≥ 1.94^2 / 2
1.96 ≥ 1.882
Since 1.96 is greater than 1.882, the inequality is true.
Therefore, Statement I is true. The cyclist will not slip and pass the curve.
Statement II: If the road is banked at an angle of 45 degrees, it does not affect the validity of Statement I. The road being banked does not change the forces acting on the cyclist or the requirement for the maximum frictional force to be greater than or equal to the centripetal force.
Therefore, Statement II is irrelevant to the validity of Statement I.
To determine whether the cyclist will slip or not, we need to compare the centripetal force required to keep the cyclist in circular motion with the maximum frictional force available.
The centripetal force required to keep the cyclist in circular motion can be calculated using the equation:
F_c = m * (v^2 / r)
Where:
F_c = Centripetal force
m = Mass of the cyclist
v = Velocity of the cyclist
r = Radius of the circular path
Given that the speed of the cyclist is 7 km/h = 7 * 1000 / 3600 = 1.94 m/s and the radius of the path is 2 m, we can substitute these values into the equation:
F_c = m * (1.94^2 / 2)
Next, we need to calculate the maximum frictional force available using the equation:
F_friction = μ * N
Where:
F_friction = Frictional force
μ = Coefficient of static friction
N = Normal force
Since the road is unbanked, the normal force is equal to the weight of the cyclist, which can be calculated using the equation:
N = m * g
Where:
g = Acceleration due to gravity
Given that the static friction coefficient is 0.2 and the acceleration due to gravity is 9.8 m/s^2, we can substitute these values into the equation:
F_friction = 0.2 * (m * g)
Now, if the cyclist does not slip, the maximum frictional force available (F_friction) should be greater than or equal to the centripetal force required (F_c).
Therefore, the inequality can be written as:
0.2 * (m * g) ≥ m * (1.94^2 / 2)
The mass of the cyclist (m) cancels out on both sides.
0.2 * g ≥ 1.94^2 / 2
Substituting the value of g = 9.8 m/s^2:
0.2 * 9.8 ≥ 1.94^2 / 2
1.96 ≥ 1.882
Since 1.96 is greater than 1.882, the inequality is true.
Therefore, Statement I is true. The cyclist will not slip and pass the curve.
Statement II: If the road is banked at an angle of 45 degrees, it does not affect the validity of Statement I. The road being banked does not change the forces acting on the cyclist or the requirement for the maximum frictional force to be greater than or equal to the centripetal force.
Therefore, Statement II is irrelevant to the validity of Statement I.
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Community Answer
Statement I: A cyclist is moving on an unbanked road with a speed of 7...
Statement I:
Vmax = 1.97 m/s
7 km/h = 1.944 m/s
Speed is lower than vmax, so it can take a safe turn.
Statement II:
18.5 km/h = 5.14 m/s
Speed is lower than vmax, so it can take a safe turn.
Vmax = 1.97 m/s
7 km/h = 1.944 m/s
Speed is lower than vmax, so it can take a safe turn.
Statement II:
18.5 km/h = 5.14 m/s
Speed is lower than vmax, so it can take a safe turn.
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Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer?
Question Description
Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer?.
Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Here you can find the meaning of Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping.In the light of the above statements, choose the correct answer from the options given below.a)Statement I is incorrect and statement II is correct.b)Statement I is correct and statement II is incorrect.c)Both statement I and statement II are incorrect.d)Both statement I and statement II are correct.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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