2. The needle point in a sewing machine moves in Simple Harmonic Motion with frequency of 2.2Hz. At t=0 , the position of the needle is at 1.0cm and the velocity is -12cm/s. A. What is the equation of motion of the needle point? B. What is the acceleration at t=0s?

a. If you took a pendulum to the moon where g = 1.6 m/s2, what change would you observe in its period? b. Are there factors other than length and gravitational acceleration that affect the period of the pendulum? Why is the period of a pendulum bob independent of its mass?

A mass of 2.00kg is pulled to the right 15.5 cm and released at t=0 seconds.  The period of the oscillation on a frictionless surface is measured to be 2.05 seconds. a. what is the spring constent? b. what is the maximum velocity? c. what is the maximum acceleration?

A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k.  b. Calculate the spring constant k, in Newtons per meter.  c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  d. Calculate the total mechanical energy E, in joules.

The motion of a particle is given by x = A sin3(ωt). a. Enter an expression for the amplitude of the particle's motion.  b. Enter an expression for the particle's velocity, v.  c. Enter an expression for the particle's acceleration, a.

4. A mass, m, is suspended from a vertically oriented spring, with constant, k. A downward impulse, J, is delivered to the mass, driving the spring-mass system into oscillatory motion. Express all answers in terms of given quantities and fundamental constants. a. What is the speed of the mass immediately after delivery of the impulse? Answer 4a: b. What is the amplitude of motion? Page 3 I 6 +

An object moves in simple harmonic motion described by the equation d=4 cos t, where t is measured in seconds and d in inches. Find the following. a. the maximum displacement b. the frequency c. the time required for one cycle a. in. b. cycles per second C. Enter your answer in the answer bos Save for Later Type here to search

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.

8. The new blade on my table saw has a radius of 15.0 cm. My table saw has a maximum speed of 3750rpm. If it takes 2.50 seconds to get up to this final speed, what is the tangential velocity of the tip ofthe saw blade, and how many revolutions does it pass through in that amount of time?

The max displacement from the equilibrium of any oscillator can be doubled by doubling? a. Only the initial speed b. Only the initial displacement C. The initial displacement and the initial speed d. Halving the initial speed while doubling the initial displacement.