SHM, Waves, Thermo, E&M Practice Problem Workbook
SHM, Waves, Thermo, E&M Practice Problem Workbook
SHM, Waves, Thermo, E&M Practice Problem Workbook
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a. Find the amplitude.<br />
b. Find the period.<br />
MECHANICS PRACTICE PROBLEM SETS 8<br />
c. Find the angular frequency.<br />
Answer: ω = 4 rad/s<br />
7.4.2 Mass-Spring System<br />
d. Find the magnitude of the maximum velocity.<br />
1. When a family of four with a total mass of 200 kg gets into their 1200 kg car, the<br />
e. Find the magnitude of the maximum<br />
car’s springs compress 5 cm. What is the spring constant of the car’s springs<br />
assuming they act acceleration. as one single spring<br />
Answer: 39,200 N/m<br />
2. Imagine that you videotape the motion of a mass attached to a spring and measure the<br />
displacement x from the equilibrium position as a function of time t. When you plot<br />
position, velocity and acceleration as a function of time you get the following graphs.<br />
3. When a 0.50 kg-object is attached to a vertically supported spring, it stretches 0.10 m.<br />
It is then pulled another 0.10 m from its new equilibrium position. Find the period,<br />
angular frequency, total energy, and displacement equation for this mass-spring<br />
system.<br />
Answer: T = 0.63 sec,<br />
ω = 9.9 rad/s,<br />
E T = .25 J,<br />
x(t) = 0.10 cost (9.9t)<br />
4. An object with mass m = 0.60 kg attached to a spring with k = 10 N/m vibrates back<br />
and forth along a horizontal frictionless surface. If the amplitude of the motion is<br />
0.050 m, what is the velocity of the object when it is 0.010 m from the equilibrium<br />
position<br />
Answer: 0.20 m/s<br />
Gamzon & Gregorian-Michaelsen 6/13/12