# Help with my exam

Yes I need help with my exam, my teacher gave us one day form making it and it guves us all the options we can have. So that is way I am asking for help.
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