1. A small object of mass 0.20 kg is undergoing simple harmonic motion of period

Question

1. A small object of mass 0.20 kg is undergoing simple harmonic motion of period 0.80s and amplitude

0.50m. (a) What is the maximum force acting on the object? (b) What is the maximum velocity of

the object? (c) If the oscillations are produced by a spring, what is the force constant of the spring?

2. Starting from the definition for moment of inertia I=?r 2dm , calculate the moment of inertia of

a thin rod located between x = L and x = 2L, if it is rotating about the y-axis. Verify your result by

finding the moment of inertia about and axis perpendicular to the center point of the rod (x = 1.5L),

and using the parallel axis theorem.

3. A 16 lb object hangs from a spring. It undergoes simple harmonic motion in a vertical direction with

an amplitude of 6.0 in and a frequency of 2.0 Hz. Find (a) the period, (b) the force constant of the

spring, (c) the maximum speed of the object, (d) the maximum acceleration of the object, (e) the

speed when the object is at half it maximum displacement.

4. A 55 kg ice skater is traveling with a speed of 2.5 m/s in a circle of radius 4.0 m. The skater is held in

the circle by a rope held by a friend standing at the center of the circle. (The friend is always facing

the skater

Explanation / Answer

1. A small object of mass 0.20 kg is undergoing simple harmonic motion of period

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