An undamped 2.55 kg horizontal spring oscillator has a spring constant of 34.9 N/m. While oscillating, it is found to have a speed of 2.85 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? A = E Et= וח What is the oscillator's total mechanical energy Eot as it passes through a position that is 0.756 of the amplitude away from the equilibrium position?

An object stretches a spring 6 inches in equilibrium. a) Find its displacement for t> 0 if it is initially displaced 4 inches below equilibrium and given a downward velocity of 8 ft/s. y(t) b) State the natural frequency of the oscillation. Wo = rad/s = c) State the period of the oscillation. T S = d) State the amplitude of the oscillation. R ft e) State the phase angle of the oscillation. The phase angle should be between π radians. Φ = Notes: 1. Use g rad = 32 ft/sec². 2. Upward forces and movement are associated with y > 0. Downward forces and movement are associated with y < 0. π and

A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 1.58 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?

An undamped 1.83 kg horizontal spring oscillator has a spring constant of 21.5 N/m. While oscillating, it is found to have a speed of 2.51 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? What is the oscillator's total mechanical energy Erot as it passes through a position that is 0.752 of the amplitude away from the equilibrium position? A = Etot = m

A 37 kg block on a horizontal frictionless surface is attached to a spring. The block is exhibiting SHM. The total energy of the system is 420 J. A.) Determine how much PE it has when its KE is six-sevenths of the PE. PE= w B.) Determine the maximum speed of the block. Vmax=

A 190 g mass suspended from a spring oscillates in simple harmonic motion. The mass completes 2 cycles every second. Calculate the spring constant.

A 250-g object connected to a light spring with a spring constant of 1.00 N/m sits on a frictionless horizontal table. Suddenly, the object is knocked by a force causing it to move towards right and then vibrate back and forth with an amplitude of 10.0 cm as shown in the drawing. In which positions does the oscillating mass possess maximum kinetic energy? wwwwww ww A 711 ☐ ☐ 1-3T/4 6 t-3T/4 -A 8 Position 2 Position 6. Position 5. 1-7/2 t-T/4 3 X 0 +A Position 3. 1. Maximum kinetic energy position Position 8. 2. No, not this position. Position 9. Position 4 Position 1 Position 7.

A simple pendulum makes 100 complete oscillations in 3.30 min at a location where g = 9.80 m/s2. (a) Find the period of the pendulum. s(b) Find the length of the pendulum. m

A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg,  and the second ring has radius r= 7cm and mass 1.6kg. Both rings are attached to a rod of mass 0.15kg. The pendulum swings freely about frictionless pivot o. If the pendulum is to have a period of 2.2 a for small oscillations, what must be the rod length L?

A 50.0-kg object moving at 11.2 m/s transferred 1539 J of energy as work to another object. What is the new velocity of the object after the event?