Problem 5: A mass m = 141 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 93 N/mand negligible mass. The mass undergoes simple harmonic motion when placed in vertical motion. At time t=0 the mass is observed to be at a distance d =0.41 m below its equilibrium height with an upward speed of vo = 4.5 m/s.33% Part (a) Determine the phase angle qp of the motion, in radians.-0.9300 ✓ Correct!33% Part (b) Determine the amplitude of the motion, in m.X-0.6800✓ Correct!33% Part (c) Determine the distance from equilibrium, in m, when the mass moves with a speed half its initial speed.id₁21=1

Answered: Image /qna-images/answer/0b64f16b-d50e-4bff-aa22-59942778308a.jpg

Answered: Problem 5: A mass m = 141 kg hangs at…

Similar questions

A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.1 Hz. At t =0 s, the mass is at x= 1.1 m and has vx =− 2.9 m/s. What is the position (in meters) at t =2 s?
A compact object with a mass of 5.60 kg oscillates at the end of a vertical spring with a spring constant of 2.00 x 10* N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N. s/m. (a) What is the frequency (in Hz) of the damped oscillation? Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % (c) Over what time interval (in s) does the energy of the system drop to 5.00% of its initial value? (d) What If? The atmosphere of Venus is 50 times thicker than that on Earth. If the effect of air resistance on Venus is represented by b = 150 N s/m, recalculate the answers for parts (a) to (c) for this system if it is set in motion in the atmosphere of Venus. What is the frequency (in Hz) of the damped oscillations? Hz What is the percentage decrease in amplitude in each cycle? % What is the time interval (in s) for the energy to drop to 5.00% of its initial value?
A 0.50 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 25.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until xi = −4.00 cm. It then is released from rest and undergoes simple harmonic motion. How fast is the object moving (in m/s) when the spring is momentarily compressed by 1.30 cm (that is, when x = −1.30 cm)? How fast is the object moving (in m/s) whenever the spring is extended by 1.30 cm (that is, when passing through x = +1.30 cm)?
A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.