[Homework Home > Oscillations]

[1]A weight of N is hung from a spring that has a spring constant of k= N/m . By how much is the spring stretched?

[2]A car bounces up and down with a period of seconds after hitting a bump. The car has a mass of kg and is supported by 4 springs, one on each tire. Determine the value of k, the spring constant of the car's springs.

[3]A block of mass m= kg is moving toward the left with a speed of v= m/s . It comes into contact with a spring with spring constant k= N/m and compresses it until it stops. The spring then recoils, sending the spring back toward the right. How long is the block in contact with the spring?

[4]A big block is attached to a spring. When pulled, it oscillates back and forth with a frequency of f= Hz . A smaller block, of mass m= kg is placed on top of the big block. There is a coefficient of friction between the two blocks of \mu= . How large of an oscillation amplitude can the big block have so that the smaller block will not slip off?

[5]When a mass m= kg is hung on a spring the spring stretches by d= m . The spring is then stretched an additional m and released, starting the mass/spring to oscillate. Determine

a) the spring constant

b) the angular frequency, \omega

c) the frequency, f of the oscillation

d) the period of the oscillation

e) the amplitude of the oscillation

f) the maximum velocity of the mass

g) the maximum acceleration of the mass