Questions

Which of these becomes zero at mean position in SHM?

Which of these becomes zero at mean position in SHM?

> The velocity of the particle in SHM when just cross the mean position its velocity becomes maximum at that moment; it becomes zero for a while at the highest point of the displacement and then starts moving towards the opposite direction.

Why is potential energy minimum at Mean position in SHM?

Answer: a) purely kinetic. At the mean position, the velocity of the particle in S.H.M. is maximum and displacement is minimum, that is, x=0. Therefore, P.E. =1/2 K x2 = 0 and K.E. = 1/2 k ( a2 – x2) = 1/2 k ( a2 – o2) = 1/2 ka2. Thus, the total energy in simple harmonic motion is purely kinetic.

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At which position the total energy of particle executing SHM is purely potential?

At the mean position, the total energy in simple harmonic motion is purely kinetic and at the extreme position, the total energy in simple harmonic motion is purely potential energy.

Which of the following quantity may be known zero in simple harmonic motion?

If the vectors are parallel or anti-parallel i.e. if the angle between them is zero or π, its sine becomes zero and the cross product becomes zero. Here all the vectors are along the same line either in the same direction or in opposite direction. Hence all options are zero.

In which of the following positions is the potential energy minimum in SHM?

mean position
In which of the following positions is the potential energy minimum in S.H.M? Notes: Potential energy maximum and equal to total energy at extreme positions. Potential energy is minimum at mean position.

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Why is potential energy not zero at mean position?

The potential energy at mean position may or may not be zero. This is because the magnet oscillates about its position with a definite period of time.

Why is potential energy zero at mean position?

The potential energy of an object is always with some zero potential energy reference point. If the mean position is chosen as a reference point then the potential energy will never be negative. It may be negative if some other point is selected as zero potential energy reference.

What are the conditions to be followed by a particle executing simple harmonic motion?

What is the basic condition for a motion to be simple harmonic? The equation of motion of a particle executing S.H.M. is a=-bx, where a is the acceleration of the particle, x is the displacement from the mean position and b is a constant.

At which position the restoring force acting on a particle executing linear SHM is maximum?

And the direction of this restoring force is towards its mean position. So in Simple harmonic motion the restoring force acts towards a fixed position while the total energy remains constant, which results in the restoring force to be maximum at the extreme positions.