#1. A simple pendulum with mass m = 1.7 kg and length L = 2.37 m hangs from the ceiling. It is pulled back to a small angle of = 11.4 from the vertical and released at t = 0.

1)What is the period of oscillation?

3.09s

2)What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0?

3.36N

3)What is the maximum speed of the pendulum?

0.96m/s

4)What is the angular displacement at t = 3.37 s? (give the answer as a negative angle if the angle is to the left of the vertical)

_

5)What is the magnitude of the tangential acceleration as the pendulum passes through the equilibrium position?

_m/s²

6)What is the magnitude of the radial acceleration as the pendulum passes through the equilibrium position?

_m/s²

7)Which of the following would change the frequency of oscillation of this simple pendulum?

increasing the mass

decreasing the initial angular displacement

increasing the length

hanging the pendulum in an elevator accelerating downward

#2. A wave pulse travels down a slinky. The mass of the slinky is m = 0.89 kg and is initially stretched to a length L = 6.5 m. The wave pulse has an amplitude of A = 0.28 m and takes t = 0.414 s to travel down the stretched length of the slinky. The frequency of the wave pulse is f = 0.45 Hz.

1)What is the speed of the wave pulse?

15.70m/s

2)What is the tension in the slinky?

33.75N

3)What is the average speed of a piece of the slinky as a complete wave pulse passes?

0.50m/s

4)What is the wavelength of the wave pulse?

34.89m

5)Now the slinky is stretched to twice its length (but the total mass does not change).

What is the new tension in the slinky? (assume the slinky acts as a spring that obeys Hooke's Law)

_N

6)What is the new mass density of the slinky?

_kg/m

7)What is the new time it takes for a wave pulse to travel down the slinky?

_s

8)

If the new wave pulse has the same frequency, what is the new wavelength?

_m

9)

What does the energy of the wave pulse depend on?

the frequency

the amplitude

both the frequency and the amplitude