One end of each of two identical springs, each of force constant 0.5 N/m, are attached on the opposite sides of a wooden block of mass 0.01 kg. The other ends of the springs are connected to separate rigid supports such that the springs are unstretched and are collinear in a horizontal plane. To the wooden piece kept on a smooth horizontal table is now displaced by 0.02m along the line of springs and released. If the speed of the paper is 0.1 m/s, then which of the following are correct ?a)The equation of the path traced by the pointer on the paper is X = 0.02 sin(100y+b)The equation of the path traced by the pointer on the paper is X = 0.01 sinc)The distance between two consecutive maxima of path is 3.14 cmd)The distance between two consecutive maxima of path is 6.28 cmCorrect answer is option 'A,D'. Can you explain this answer?

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a)
The equation of the path traced by the pointer on the paper is X = 0.02 sin(100y+
b)
The equation of the path traced by the pointer on the paper is X = 0.01 sin
c)
The distance between two consecutive maxima of path is 3.14 cm
d)
The distance between two consecutive maxima of path is 6.28 cm

Correct answer is option 'A,D'. Can you explain this answer?

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One end of each of two identical springs, each of force constant 0.5 N...

Here as k = k₁ +k₂ = 0.5 + 0.5 = 1N/m and m = 0.01kg,

As the block is displaced by 0.02m, amplitude will be 0.02m. So the equation of motion along the x-axis will be

..(i)
Where φ is phase constant.
But along the y-axis as paper is moving down, the pointer relative to paper is moving up with constant velocity 0.1 m/s, so that
y = vt = 0.1t
The equation of the path will be obtained by eliminating t between Eqns. (1) and (2) i.e.
x= 0.02 sin(100y+

Now x will be maximum when
sin (100y +

= max = 1,

which implies

So that

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One end of each of two identical springs, each of force constant 0.5 N...

Here as k = k₁ +k₂ = 0.5 + 0.5 = 1N/m and m = 0.01kg,

As the block is displaced by 0.02m, amplitude will be 0.02m. So the equation of motion along the x-axis will be

Now x will be maximum when
sin (100y +

= max = 1,

which implies

So that

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One end of each of two identical springs, each of force constant 0.5 N/m, are attached on the opposite sides of a wooden block of mass 0.01 kg. The other ends of the springs are connected to separate rigid supports such that the springs are unstretched and are collinear in a horizontal plane. To the wooden piece kept on a smooth horizontal table is now displaced by 0.02m along the line of springs and released. If the speed of the paper is 0.1 m/s, then which of the following are correct ?a)The equation of the path traced by the pointer on the paper is X = 0.02 sin(100y+b)The equation of the path traced by the pointer on the paper is X = 0.01 sinc)The distance between two consecutive maxima of path is 3.14 cmd)The distance between two consecutive maxima of path is 6.28 cmCorrect answer is option 'A,D'. Can you explain this answer?

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One end of each of two identical springs, each of force constant 0.5 N/m, are attached on the opposite sides of a wooden block of mass 0.01 kg. The other ends of the springs are connected to separate rigid supports such that the springs are unstretched and are collinear in a horizontal plane. To the wooden piece kept on a smooth horizontal table is now displaced by 0.02m along the line of springs and released. If the speed of the paper is 0.1 m/s, then which of the following are correct ?a)The equation of the path traced by the pointer on the paper is X = 0.02 sin(100y+b)The equation of the path traced by the pointer on the paper is X = 0.01 sinc)The distance between two consecutive maxima of path is 3.14 cmd)The distance between two consecutive maxima of path is 6.28 cmCorrect answer is option 'A,D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about One end of each of two identical springs, each of force constant 0.5 N/m, are attached on the opposite sides of a wooden block of mass 0.01 kg. The other ends of the springs are connected to separate rigid supports such that the springs are unstretched and are collinear in a horizontal plane. To the wooden piece kept on a smooth horizontal table is now displaced by 0.02m along the line of springs and released. If the speed of the paper is 0.1 m/s, then which of the following are correct ?a)The equation of the path traced by the pointer on the paper is X = 0.02 sin(100y+b)The equation of the path traced by the pointer on the paper is X = 0.01 sinc)The distance between two consecutive maxima of path is 3.14 cmd)The distance between two consecutive maxima of path is 6.28 cmCorrect answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One end of each of two identical springs, each of force constant 0.5 N/m, are attached on the opposite sides of a wooden block of mass 0.01 kg. The other ends of the springs are connected to separate rigid supports such that the springs are unstretched and are collinear in a horizontal plane. To the wooden piece kept on a smooth horizontal table is now displaced by 0.02m along the line of springs and released. If the speed of the paper is 0.1 m/s, then which of the following are correct ?a)The equation of the path traced by the pointer on the paper is X = 0.02 sin(100y+b)The equation of the path traced by the pointer on the paper is X = 0.01 sinc)The distance between two consecutive maxima of path is 3.14 cmd)The distance between two consecutive maxima of path is 6.28 cmCorrect answer is option 'A,D'. Can you explain this answer?.

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