Help With My Exam: Vibrations, Springs, Pendulums

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In summary, the conversation is about a student asking for help with an exam on simple harmonic motion. The questions involve finding the period, frequency, maximum speed, acceleration, resorting force, kinetic energy, potential energy, total energy, force constant, and period of vibration for various scenarios involving vibrating objects. The student hopes to receive assistance with understanding these concepts and solving the problems accurately.
  • #1
diegotc
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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
 
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  • #2
None of us are going to give you the answers. Show you're work and we'll see where you make your mistakes.
 
  • #3


As a scientist, it is important to understand the concepts and principles behind the topics you are studying, such as vibrations, springs, and pendulums. It is also important to take the time to fully understand the material and practice solving problems to prepare for exams. If you are struggling with the material, I suggest seeking help from your teacher or a tutor who can guide you through the concepts and help you practice solving problems. Remember, it is not just about passing the exam, but also about understanding and applying the knowledge in your future studies and career. Good luck on your exam!
 

1. What are vibrations, and how are they related to springs and pendulums?

Vibrations are rapid back-and-forth movements of an object or system. Springs and pendulums are two examples of systems that exhibit vibrations due to their ability to store and release energy.

2. How can I calculate the frequency and period of a vibrating object?

The frequency (f) of a vibrating object is the number of oscillations it completes in one second and is measured in Hertz (Hz). The period (T) is the time it takes for one complete oscillation and is measured in seconds (s). These values can be calculated using the equations f = 1/T and T = 1/f.

3. How do the properties of a spring affect its vibration behavior?

The properties of a spring, such as its stiffness (k) and mass (m), can affect its vibration behavior. A stiffer spring will have a higher natural frequency and shorter period, while a heavier mass attached to the spring will decrease the frequency and increase the period of vibration.

4. What factors affect the period of a pendulum's oscillation?

The period of a pendulum's oscillation is affected by its length, mass, and the acceleration due to gravity. A longer pendulum will have a longer period, while a heavier mass or stronger gravitational pull will decrease the period of oscillation.

5. How can I use the concepts of vibrations, springs, and pendulums in real-world applications?

The principles of vibrations, springs, and pendulums are used in various real-world applications, such as earthquake detection and measurement, musical instruments, and timekeeping devices. Engineers also use these concepts to design and improve structures, vehicles, and machinery for better performance and stability.

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