Question

A mass of 3 kg stretches a spring 61.25 cm. Supposing that there is no damping...

A mass of 3 kg stretches a spring 61.25 cm. Supposing that there is no damping and that the mass is set in motion from 0.5 m above its equilibrium position with a downward velocity of 2 m/s, determine the position of the mass at any time. Find the amplitude, the frequency, the period and the phase shift of the motion.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward,...
A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in, and then set in motion with a downward velocity of 2 ft/s, and if there is no damping, find the position u of the mass at any time t. Determine the frequency, period, amplitude, and phase of the motion
A mass of 100 g stretches a spring 5 cm. If the mass is set in...
A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 10 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2  for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds.) u(t) = When does...
A mass of 100 g stretches a spring 1.568 cm. If the mass is set in...
A mass of 100 g stretches a spring 1.568 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 40 cms, and if there is no damping, determine the position u of the mass at any time t. Enclose arguments of functions in parentheses. For example, sin(2x).
A mass of 50 g stretches a spring 1.568 cm. If the mass is set in...
A mass of 50 g stretches a spring 1.568 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 40 cm/s, and if there is no damping, determine the position u of the mass at any time t. Enclose arguments of functions in parentheses. For example, sin(2x). Assume g=9.8 ms2. Enter an exact answer. u(t)=?
A mass of 68g stretches a spring 13cm. The mass is set in motion from its...
A mass of 68g stretches a spring 13cm. The mass is set in motion from its equlibrium position with a downward velocity of 13cm/s and no damping is applied. Determine the position u of the mass at any time t. Use 9.8m/s2 as the acceleration due to gravity. Pay close attention to the units.u(t)= m When does the mass first return to its equilibrium position?t=
A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by...
A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by an external force of 4 cos(t) N. If the mass is set in motion from its equilibrium position with a downward velocity of 2 m/s, find the position of the mass at any time. Identify the transient (i.e., complementary) and steady state (i.e., particular) solutions. Does the motion exhibit resonance or a beat?
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by...
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by an external force of 7sin⁡(t/4)N and moves in a medium that imparts a viscous force of 3 N when the speed of the mass is 6 cm/s.If the mass is set in motion from its equilibrium position with an initial velocity of 4 cm/s, determine the position u of the mass at any time t. Use 9.8 m/s^2 as the acceleration due to gravity....
A student stretches a spring, attaches a 1.70 kg mass to it, and releases the mass...
A student stretches a spring, attaches a 1.70 kg mass to it, and releases the mass from rest on a frictionless surface. The resulting oscillation has a period of 0.530 s and an amplitude of 26.0 cm. Determine the oscillation frequency, the spring constant, and the speed of the mass when it is halfway to the equilibrium position. (a) the oscillation frequency (in Hz) Hz (b) the spring constant (in N/m) N/m (c) the speed of the mass (in m/s)...
A mass weighing 19.6 N stretches a spring 9.8 cm. The mass is initially released from...
A mass weighing 19.6 N stretches a spring 9.8 cm. The mass is initially released from a point 2/3 meter above the equilibrium position with a downward velocity of 5 m/sec. (a) Find the equation of motion. (b)Assume that the entire spring-mass system is submerged in a liquid that imparts a damping force numerically equal to β (β > 0) times the instantaneous velocity. Determine the value of β so that the subsequent motion is overdamped.
DIFFERENTIAL EQUATIONS: An object stretches a spring 5 cm in equilibrium. It is initially displaced 10...
DIFFERENTIAL EQUATIONS: An object stretches a spring 5 cm in equilibrium. It is initially displaced 10 cm above equilibrium and given an upward velocity of .25 m/s. Find and graph its displacement for t > 0. Find the frequency, period, amplitude, and phase angle of the motion.