2. cm then released. A50 gram mass at rest stretches a spring by 2.5 cm. The spring is further st...
A shock absorber spring on a heavy duty truck is 21V,feet long. When installed, the spring compresses to 2 feet. The truck weighs 7 200 1bs, so each shock absorber has a load of 1,800 lbs. Treat the compression of the spring the same as if 1,800 lbs would stretch it by 6 inches.) a What is the spring constant? b) What is the coefficient of resistance that would cause the spring to be critically damped? 4.A simple pendulum of...
You attach a 95 gram mass to a spring and it stretches 5 cm. What is the spring constant? If you set the spring in simple harmonic motion, what will the period and frequency be? spring constant = period = frequency =
Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. 1. Assume no damping and determine the period of oscillation of the vertical motion of the car. 2. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle. What were the initial conditions? 3....
A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s. (Use g 32 ft/s for the acceleration due to gravity.) (a) Find the equation of motion x(t) (b) what are the amplitude, period, and frequency of the simple harmonic motion? amplitude1.118 ft period frequency cycles/s (c) At what times does the mass return to the point 1 foot below...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.80 N is applied. A 0.510-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system (a) The angular frequency (rad/sec) (b) Th Period of the oscilation (sec) (c) The frequency (Hz) (d) The maximum speed (m/s) (e) Maximum acceleration (m/s2)
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.40 N is applied. A 0.520-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
2. A spring is stretched 10 cm by a force of 3 newtons. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 newtons when the velocity of the mass is 5 m/sec. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/sec, determine its position u at time t. Find the quasi frequency and...
A 0.8-kg mass hanging from a vertical spring is lifted 2 cm above its resting position and released from rest. It undergoes simple harmonic motion with a frequency of 0.5 Hz. a) What is the period of the motion? b) What is the spring constant? c) What is the amplitude of the oscillation? d) If the mass is released at time t = 0, at what time t does it first pass through its resting position? e) What is the...
1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot.1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec22. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle....