A block is on a horizontal surface (a shake table) that is moving back and forth horizontally with simple harmonic motion of frequency 1.10 Hz. The coefficient of static friction between block and surface is 0.476. How great can the amplitude of the SHM be if the block is not to slip along the surface? Number Units

What is the maximum acceleration of a platform that oscillates with an amplitude of 2.8 cm at a frequency of 5.6 Hz? Number i Units

An object is moving in damped SHM, and the damping constant can be varied. If the angular frequency of the motion is v when the damping constant is zero, what is the angular frequency, expressed in terms of v, when the damping constant is one-half the critical damping value?

A rifle bullet with mass 8.00 g and initial horizontal velocity 280 m/s strikes and embeds itself in a block with mass 0.992 kg that rests on a frictionless surface and is attached to one end of an ideal spring. The other end of the spring is attached to the wall. The impact compresses the spring a maximum distance of 15.0 cm. After the impact, the block moves in SHM. Calculate the period of this motion.

A mass-spring system oscillates with an amplitude of 4.00 cm. If the spring constant is 241 N/m and the mass is 472 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration.

A block is on a horizontal surface (a shake table) that is moving back and forth horizontally with simple harmonic motion of frequency 2.0 Hz.The coefficient of static friction between block and surface is 0.50. How great can the amplitude of the SHM be if the block is not to slip along the surface?

An object performing SHM has its velocity as a function of time given by v(t) = - (3.3 m) (91.0 rad/s) sin (91.0t + 0.10) What is the maximum speed of the vibration in m/s? Calculate your answer with a single digit of precision. Your Answer: Answer

QUESTION 12 A 0.25-kg harmonic oscillator has a total mechanical energy of 4.1 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency, in hertz?

You are pushing your nephew on a playground swing. The swing seat is suspended from a horizontal bar by two light chains. Assume that the estimation of the length of each chain is 2.0 m. Treat the motion of the child as that of a simple pendulum and assume that for safety the amplitude of the motion is kept small. You give your nephew a light push each time he reaches his closest distance from you. How much time elapses between your pushes? Express your answer with appropriate units.

At a certain harbor, the tides cause the ocean surface to rise and fall a distance d (from highest level to lowest level) in simple harmonic motion, with a period of 12.7 h. How long does it take for the water to fall a distance 0.25Od from its highest level? Number i Unit