A block is in SHM on the end of a spring, with position given by . If , then at t = 0 what percentage of the total mechanical energy is potential energy?

Figure 15-25 shows plots of the kinetic energy K versus position x for three harmonic oscillators that have the same mass. Rank the plots according to (a) the corresponding spring constant and (b) the corresponding period of the oscillator, greatest first.

A massless spring with spring constant 19 N/m hangs vertically. A body of mass 0.20 kg is attached to its free end and then released. Assume that the spring was unstretched before the body was released.

1. How far below the initial position the body descends?
2. Find frequency of the resulting SHM.
3. Find amplitude of the resulting SHM.

A block hangs from a spring, extending it 16.0 cm from its unstretched position.

1. What is the spring constant?
2. The block is removed, and a body is hung from the same spring. If the spring is then stretched and released, what is its period of oscillation?

In Fig. 15-64, a demolition ball swings from the end of a crane. The length of the swinging segment of cable is 17 . (a) Find the period of the swinging, assuming that the system can be treated as a simple pendulum. (b) Does the period depend on the ball’s mass?

An object undergoing simple harmonic motion takes 0.25 s to travel from one point of zero velocity to the next such point. The distance between those points is 36 cm.

(a) Calculate the period of the motion.

(b) Calculate the frequency of the motion.

(c) Calculate the amplitude of the motion.