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spring makes 12 vibrations in 3 seconds.

1

.Find the period T.

a)1/3 sec. b) 1/4 sec. c) 1/5 sec. d) 1/6 sec.

2.Find the frequency.

a)1/ sec. b) 2/ sec. c) 3/ sec. d) 4/ sec.

A 4 lb steel block vibrates in a simple harmonic motion with amplitude r = 9 in. and period T = 3 sec.

3.Find the frequency.

a)1 vib./sec. b) 1/2 vib./sec. c) 1/3 vib./sec. d) 1/4 vib./sec.

4.Find maximum speed.

a)1.57 ft/sec b) 1.47 ft/sec c) 1.67 ft/sec d) 2 ft/sec

5.Find maximum acceleration.

a)1.29 ft/sec2 b) 2.29 ft/sec2 c) 3.29 ft/sec2 d) 4.29 ft/sec2

6.Find the maximum resorting force acting on it.

a)-1.41 lb b) 0.41 lb c) 1.41 lb d) 2.41 lb

7.Find the maximum kinetic energy.

a)0.124 ft-lb b) 0.134 ft-lb c) 0.144 ft-lb d) 0.154 ft-lb

8.Find the maximum potential energy.

a)0.144 ft-lb b) 0.154 ft-lb c) 0.124 ft-lb d) 0.134 ft-lb

9.Find the total energy of the vibrating block at any position.

a)0.154 ft-lb b) 1.154 ft-lb c) -0.154 ft-lb d) -1.154 ft-lb

A 5 lb body is suspended by a long and light spiral spring. An added force of 2 lb stretches the spring 4 in.

10.Find the force constant K of the spring.

a)3 ft/lb b) 4 ft/lb c) 5 ft/lb d) 6 ft/lb

11.Find the period of vibration of the 5 lb body of pulled down a little and then released.

a)1 sec b) 1.01 sec c) 1.02 sec d) 1.03 sec

A long flat steel spring is clamped at lower end and a 2 kg ball is fastened at the top end. A force of 8 newtons is required to displace the ball 20 cm side to side.

12.Find the force constant K of the spring.

a)20 newtons/meter b) 25 newtons/meter c) 30 newtons/meter d) 40 newtons/meter

13.Find the period of vibration of the 2 kg ball when pulled a little to one side and then released. Assume the ball is executing simple harmonic motion.

a)2.40 sec b) .40 sec c) 1.40 sec d) 1.50 sec

A certain weight when hung on a long and light spiral spring stretches it 6 in.

14.Find period of vibration if pulled down a little and then released.

a)0.79 sec b) 0.89 sec c) 0.99 sec d) 1 sec

A 40lb electric motor is mounted on four springs, each having spring constant of 5 lb/in.

15.Find period of the motor when it vibrates vertically.

a)0.06 sec b) 0.16 sec c) 0.17 sec d) 0.26 sec

16.Compute the acceleration due to gravity at a place where a simple pendulum, 150 cm long, makes 100 vibrations in 246 sec.

a)3.79 m/sec b) 6.79 m/sec c) 9.79 m/sec d) 12.79 m/sec

A yard stick vibrates as a compound pendulum about a horizontal axis through the 6 inch mark.

17.Find the period of oscilation.

a)3 ft b) 3.5 ft c) 4 ft d) 4.5 ft

18.What is the length of the equivalent simple pendulum?

a)1.55 ft b) 1.6 ft c) 1.65 ft d) 1.75 ft

A pendulum makes 90 vibrations in 1 min.

19.Determine the period.

a)0.57 sec b) 0.67 sec c) 0.77 sec d) 0.87 sec

20.Find the frequency.

a)1.5/sec b) 1.6/sec c) 1.7/sec d) 1.8/sec

A coiled spring is stretched 4 in. by a load of 3 lb. An 8 lb body is attached to the spring and set into vibration with an amplitude of 5 in.

21.Find the force constant of spring.

a)6 lb/ft b) 7 lb/ft c) 8 lb/ft d) 9 lb/ft

22.Find the maximum resorting force acting on the vibrating body.

a)12/4 lb b) 15/4 lb c) 18/4 lb d) 21/4 lb

23.Find the period of vibration.

a)pi/2 sec b) pi/3 sec c) pi/4 sec d) pi/5 sec

24.Find the maximum speed of the vibrating body.

a)4/2 ft/sec b) 5/2 ft/sec c) 7/2 ft/sec d) 2/5 ft/sec

25.Find the maximum acceleration of the vibrating body.

a)16 ft/sec2 b) 15 ft/sec*2* c) 14 ft/sec2 d) 13 ft/sec2

26.Find the speed when the displacement is 4 in.

a)2/3 ft/sec b) 3/2 ft/sec c) 4/3 ft/sec d) 5/2 ft/sec

27.Find the acceleration when the displacement is 4 in.

a)12 ft/sec2 b) 13 ft/sec2 c) 14 ft/sec2 d) 15 ft/sec2

A 2.5 kg mass executes simple harmonic motion, making 3 vibrations per sec.

28.Compute the acceleration of the vibrating body.

a)1.6pi2 m/sec b)1.7pi2 m/sec c) 1.8pi2 m/sec d) 1.9pi2 m/sec

29.Find the resorting force acting on the body when displaced 5 cm from the center of its path.

a)4.3pi2 nt b) 4.35pi2 nt c) 4.45pi2 nt d) 4.5pi2 nt

30.What is the period of a vibrating particle which has an acceleration of 4 ft/sec2 when its displacement is 3 inches?

a)1.55 sec b) 1.556 sec c) 1.56 sec d) 1.57 sec