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In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.?
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In the arrangement shown in fig the block of mass m=2 kg lies on wedge...
Problem: A block of mass m=2 kg lies on a wedge of mass M=8 kg. Find the initial acceleration of the wedge if the surfaces are smooth and the pulley and string are massless.
Solution:
Step 1: Draw a Free Body Diagram of the block and the wedge
Step 2: Write down the equations of motion for the block and the wedge using Newton's Second Law
For the block:
m*a = T - m*g*sin(theta)
For the wedge:
M*A = m*g*cos(theta)
Step 3: Find the tension in the string
T = m*g*sin(theta)/(1 + M/m)
Step 4: Substitute the tension into the equation for the acceleration of the wedge
A = m*g*cos(theta)/(M + m*sin^2(theta))
Step 5: Substitute the given values of m, M, and theta into the equation for the acceleration of the wedge
A = (2*9.8*cos(30))/(8 + 2*sin^2(30))
Step 6: Solve for the acceleration of the wedge
A = 0.98 m/s^2
Therefore, the initial acceleration of the wedge is 0.98 m/s^2.
Solution:
Step 1: Draw a Free Body Diagram of the block and the wedge
Step 2: Write down the equations of motion for the block and the wedge using Newton's Second Law
For the block:
m*a = T - m*g*sin(theta)
For the wedge:
M*A = m*g*cos(theta)
Step 3: Find the tension in the string
T = m*g*sin(theta)/(1 + M/m)
Step 4: Substitute the tension into the equation for the acceleration of the wedge
A = m*g*cos(theta)/(M + m*sin^2(theta))
Step 5: Substitute the given values of m, M, and theta into the equation for the acceleration of the wedge
A = (2*9.8*cos(30))/(8 + 2*sin^2(30))
Step 6: Solve for the acceleration of the wedge
A = 0.98 m/s^2
Therefore, the initial acceleration of the wedge is 0.98 m/s^2.
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In the arrangement shown in fig the block of mass m=2 kg lies on wedge...
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In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.?
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In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.?.
In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the arrangement shown in fig the block of mass m=2 kg lies on wedge on mass M=8 kg Find the initial acceleration of wedge if the surface are smooth and pulley and string are massless.?.
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