1. A mass of 0.750 kg is attached to a linear spring of negligible mass. The system is displaced by -7.00 cm from equilibrium and then released. The total energy of the system is 0.245 J. a. What is the period of the oscillations? b. What distance away from equilibrium is the mass when its speed is 80.0% of its maximum value?

10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.

Number 6

How can I approach this mass on a spring problem?

A mass of 1.64 Kg is connected to a spring of spring constant 9.02 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.779 m before release and the oscillator moves in air. The oscillation decays to 16.7% of the original amplitude in 63.5 seconds.   a.  What would the position of the oscillation be 29.63 seconds after release?

A 0.750kg mass is attached to a spring, as shown. The surface that the mass is on is frictionless. A force of 25.0N is used to stretch the spring 0.450m. Then the mass is released from rest to oscillate. spring mass friction less surface a. What is the spring constant? b. What is the period of oscillation? c. What is the total mechanical energy in the oscillating system?

M k 4. A small block moving with a constant speed v collides inelastically with a block M attached to one end of a spring k. The other end of the spring is connected to a stationary wall. Ignore friction between the blocks and the surface. a. What is the speed of the system of two blocks after the collision? b. What is amplitude of oscillations of the system of two blocks? c. What is the period of oscillations? d. What is the total energy of the oscillating system?

You pull a simple pendulum 0.240 m long to the side through an angle of 3.50° and release it. a. How much time does it take the pendulum bob to reach its highest speed? b. How much time does it take if the pendulum is released at an angle of 1.75⁰ instead of 3.50°?

A mass weighing 4 Ibs. stretches a spring 6 in. If the mass is pushed upward, contracting the spring distance 1 in and then set in motion with a downward velocity of 2 fl/s, and if there is no damping. a. Find the position function u of the mass at any time t. b. Determine the frequency, period, amplitude, and phase of the motion.

As a function of time, the position of the mass in a damped oscillator is given by the following equation: x=Ae-Btcosωt Which of the following is the velocity of the mass as a function of time and if possible tell me why?16.A. -Ae-Bt(ωcosωt+Bsinωt) B. -Ae-Bt(Bcosωt-ωsinωt) C. -Ae-Bt(Bcosωt+ωsinωt) D. ABe-Bt(sinωt+cosωt) E. None of the above