A spring is compressed by 0.0610 m and is used to launch an object horizontally with a speed of 2.80 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?

A piston in a gasoline engine oscillates with simple harmonic motion. The displacement of the piston varies according to x(t) = (6.00 cm) cos (2t + ), where x is in cm and t is in seconds. At t= 0, find: i) the position of the particle, ii) its velocity, iii) its acceleration, iv) the period, and v) the amplitude.

An object oscillating with an amplitude of 3.50 cm reaches a maximum speed of 26.0 cm/s. Find its speed when the displacement is 1.75 cm.

A metal sphere with a mass 7.00 kg is connected to a spring with a force constant of 200 N/m, and it oscillates horizontally with an amplitude of 2.20 cm. (a) What is the total mechanical energy (in J) of the sphere-spring system? (b) What is the maximum speed (in m/s) of the oscillating sphere? m/s (c) What is the maximum magnitude of acceleration (in m/s2) of the oscillating sphere? m/s²

The position with time of an object is given byx(t)=Acos(ωt)If the amplitude is 1.37 m, and the frequency is 2.9 Hz, what is the object's acceleration at 15.13 seconds?