1 Properties of SHM At t = 0 seconds a 500 g block oscillating on a spring is observed moving to the right at x = 15 cm. It reaches a maximum displacement of 25 cm at t = 0.30 seconds. Problem 1.1. What is the phase constant of the motion? Problem 1.2. What is the angular frequency of the motion? Problem 1.3. Draw a position-versus-time graph for one cycle of the motion. Problem 1.4. What is the acceleration of the block? Problem 1.5. What is the maximum force on the block? When does this occur?

The bob on a simple pendulum is pulled to the left 4in. from its equilibrium position. After release, the pendulum makes one complete back-and-forth cycle in 2 sec and follows simple harmonic motion.                                                                                                                                                                                                                                 1. Write a function to model the displacement d (in inches) of the bob as a function of the time t (in seconds) after release.  Assume that the displacement to the right of the equilibrium position is positive.                                                                                       2.Find the position and direction of movement of the bobo at t = 1.25 sec.

A block oscillating on a spring has period T = 2.0 s.a. What is the period if the block’s mass is doubled?b. What is the period if the value of the spring constant is quadrupled?c. What is the period if the oscillation amplitude is doubled while m and k are unchanged?Note: You do not know values for either m or k. Do not assume any particular values for them. The required analysis involves thinking about ratios.

A weight is suspended from a spring and is moving up and down in a simple harmonic motion. At start, the weight is pushed up 7 cm above the resting position, and then released. After 15 seconds, the weight reaches again to its highest position. a. Find the equation of the motion b. How high is the weight with respect to the resting position after 20 seconds since it was released.

a)What is the equation describing the motion of a mass on the end of a spring which is stretched 8.8 cm from equilibrium and then released from rest, and whose period is 0.66 s? Assume that the displacement at the start of the motion is positive. Express your answer in terms of t using two significant figures.   b)What will be its displacement after 1.9 s? Express your answer to two significant figures and include the appropriate units.

1 Properties of SHM At t = 0 seconds a 500 g block oscillating on a spring is observed moving to the right at x = 15 cm. It reaches a maximum displacement of 25 cm at t = 0.30 seconds. Problem 1.1. What is the phase constant of the motion? Problem 1.2. What is the angular frequency of the motion? Problem 1.3. Draw a position-versus-time graph for one cycle of the motion.

An oscillating system completed 15 cycles of motion in 15 seconds.A. What is the frequency of the oscillation? What is the period?

A mass attached to the end of a spring is set in motion. The mass is observed to oscillate up and down, completing 24 complete cycles every 6.00 s. What is the period T of the oscillation? What is the frequency f of the oscillation? T = f = S Hz

A. p b. 5pts Vector Bx Vector C 3. An electric fan was switched to speed #1 & attained a rotation of 1250rpm in 0.7s from standstill. Then, switched again to speed #3. The fan blades stabilizes to 1720rpm in 0.2 Determine the 1 angular acceleration (in rad/s). Determine the 2 angular acceleration (in rad/s). b. 4. Plahers A, B, and C has a mass of 6 10 kg. 7 10 kg. 5 10 kg correspondingly Distance between A & B: 1,200,000km. Distance between B & C: 2,000,000lkm Distance between A & C: 3,200,000km. Calculate the force that exist between A &B (in N). Calculate the force that exist between B&C (in N). Calculate the force that exist between A & C (in N). a. b. C.

A powerful experimental sewing machine is powered by a mass-spring system. This sewing machine is capable of stitching 1,500 stiches in one minute.   a. How many stitches can this machine stitch is one second?        i. This is a measure of the sewing machine's period or frequency?   b. If the sewing machine has a spring constant of 0.5 N/m, how large is the mass that powers the oscillation motion of the machine? (Don't forget to find T first)