An oscillator consists of a block attached to a spring (k = 229 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.0693 m, v = -16.3 m/s, and a = -126 m/s². Calculate (a) the frequency of oscillation, (b) the mass of the block, and (c) the amplitude of the motion.

A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.1 Hz. At t =0 s, the mass is at x= 1.1 m and has vx =− 2.9 m/s. What is the position (in meters) at t =2 s?

A 5 kg mass is hung on a spring with a stiffness of 70 N/m. Find the oscillation response of this mass as a function of time, if x0= 1 m and v0= - 0.45 m/s. x0 is the initial displacement and vo the initial speed. x = cos (3.74 t) - 0.12 sin(3.74 t) x = cos (14 t) - 0.12 sin(14 t) x = - 0.12 cos (3.74 t) + sin(3.74 t) x = - 0.12 sin(3.74 t) + cos (14 t)

A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates   A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.

Your answer is partially correct. An oscillator consists of a block of mass 0.358 kg connected to a spring. When set into oscillation with amplitude 28 cm, the oscillator repeats its motion every 0.468 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring. (a) Number 0.468 Units (b) Number 2.14 Units Hz (c) Number 13.44 Units rad/s (d) Number i 64.67 Units N/m (e) Number 3.76 Units m/s (f) Number 18.11 Units

An object whose mass is 520 g is fastened to the end of a horizontal spring whose spring constant is 78 N/m. The object is pulled 5.0 cm from equilibrium and released. Assume no friction between the object and the floor.(a) What is the angular frequency and the period of oscillation? (b) Write the specific equation of motion for this oscillating system, in the form x(t) = A cos(ωt + Ф)

An oscillator consists of a block of mass 0.593 kg connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.418 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.

An oscillator consists of a block of mass 0.724 kg connected to a spring. When set into oscillation with amplitude 39 cm, the oscillator repeats its motion every 0.671 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring. (a) Number i (b) Number (c) Number (d) Number (e) Number (f) Number i Units Units Units Units Units Units ►►►