Q13 of 111 Page 250

A particle executes simple harmonic motion with a frequency v. The frequency with which the kinetic energy oscillates is

The particle in one time period changes its kinetic energy two times. Therefore, the frequency will be 2v.

In first half time period, particle changes its velocity from zero to max (Aω) then to zero and similarly for the other half time period also.

More from this chapter

All 111 →
11

The total mechanical energy of a spring-mass system in simple harmonic motion is suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same. The new mechanical energy will

 12

The average energy in one time period in simple harmonic motion is

 14

A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will

 15

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant k1 and k2 respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of A to that of B is