1. A spring 12 cm long is used to support a 1.8 kg mass producing a strain of 0.1. What distance does the spring stretch? What is the spring constant?
Stretch Distance =
Spring Constant =
2.How much will a 50 cm long brass wire, 1.1 mm in diameter, elongate when a 4 kg object is hung from an end?
Elongation Distance =
3.A 1,600 kg load is hung from a 4 meter beam protruding from a wall. If the beam has a cross sectional area of 27 cm2 and the shear modulus is 23,700 MPa. What are the shearing stress and the downward deflection of the beam?
Shearing Stress =
Downward Deflection =
4.A toy ball swings in a horizontal circle 2.3 meters in diameter making 60 revolutions in 1.3 minutes. The shadow of the ball is projected to the wall by a distant light. What are the amplitude, frequency and period for the shadows motion?
Amplitude =
Frequency =
Period =
5.A 3 kg object is attached to a spring and released into SHM. If the spring oscillates with a frequency of 20 Hz and has an amplitude of 5 cm, what are the position, velocity, and acceleration after 2.72 seconds?
Position =
Velocity =
Acceleration =
6.A body makes 3 complete oscillations in 5 seconds. What is its acceleration when it is displaced a distance of x = +5 cm from its equilibrium position?
Acceleration =
7.A mass oscillates at a frequency of 5 Hz and an amplitude of 8 cm. What is its position at time t = 0 and time t = 2.67 s?
Position (t=0 s) =
Position (t=2.67 s) =
8.An object vibrates with a frequency of 2.1 Hz and an amplitude of 6 cm. What is the maximum negative velocity and what is the objects position when the velocity = 0?
Maximum Velocity =
Position (when v=0) =