Two pendulums have the same dimensions (length L) and total mass 1m2. Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar. Find the period of each pendulum for small oscillations. Which one takes longer for a swing?

An oscillator consists of an object attached to a spring. The mass of the object is m = 3.0[kg]. The spring constant of the spring is k = 10[N/m]. A simple pendulum consists of a ball at the end of a long string. Question: What length of string will give the pendulum the same approximate period of oscillation as the object on the spring? Note: use g= 10[m/s/s]. Length = 1[m] O Length = 2[m] O Length = 3[m] Length = 4[m] O Length = 5[m] O Length = 6[m] O Length = 7[m] O Length = 8[m]

Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L.   L = 1.6 m Find the period T of the left pendulum for small displacements in s.  Find the period T of the right pendulum for small displacements in s.

A mass m is attached to a spring of force constant 76.0 N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t. Find the period, frequency, and angular frequency of this motion. What is the amplitude (in cm)? At what times does the mass reach the position x=±A in the interval between t=0s and t=1.8s including the endpoints? Find the maximum acceleration of the mass. Find the times at which the maximum acceleration occurs in the interval between t=0s and t=1.8s including the endpoints. What is the mass m?

Suppose you measure that a pendulum makes 3 oscillations in 10.04 seconds. In units of Hertz, what is the frequency of oscillation?