A front-loading washing machine is mounted on a thick rubber pad that acts like a spring; the weight W=mg (with g=9.8 m/s^2) of the machine depresses the pad exactly 0.5 cm. When its rotor spins at w radians per second, the rotor exerts a vertical force F0 coswt newtons on the machine. At what speed (in revolutions per minute) will resonance vibrations occur? Neglect friction.

A 100 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring with k=150 N/m. At t=0, the mass is at x=-10cmand is moving with velocity v=15m/sec. a)What is the total energy of the system? b)What is the position of the mass as a function of time, x(t)? c)What is the acceleration of the mass at t=2.5sec?

Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 4.00Hz. The board has an effective mass of 10.0 kg. what is the frequency, in hertz, of the simple harmonic motion of a 75kg diver on the board?

A 0.500 kg cart is attached to a light spring with a spring constant of 20.0 N/m. If the cart is displaced 3.00 cm from the equilibrium position and released, calculate a) the period of vibration, and b) the velocity when the cart is 2.00 cm from the equilibrium position.

A block of mass  m = 6.04 kg  is attached to a spring with spring constant  k = 1532 N/m  and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.145 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? Hz(b) Where is the block located 3.24 s after it is released? (Give the displacement from the equilibrium. Include the sign of the value in your answer.) m(c) What is the velocity of the mass at that time? (Indicate the direction with the sign of your answer.) m/s

A 0.20-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal frictionless surface. At the instant that it is displaced from equilibrium by - 0.050 m, what is its acceleration?

A 0.60 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 18.5 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until x, = -4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the block's maximum speed (in m/s) after it is released? 1.23 X Mechanical energy is conserved in this system, and the gravitational term remains unchanged (since all motion is horizontal). Write an expression for mechanical energy that includes the kinetic energy and the potential energy of the spring. Which term(s) can be ignored when the spring is compressed and the block at rest? Which term(s) can be ignored when the block is moving at its greatest speed? Use the remaining terms, and the given quantities, to solve for the maximum speed. m/s (b) How fast is the block moving (in m/s) when the spring is…

A 0.455 kg object connected to a light spring with a spring constant of 19.0 N/m oscillates on a frictionless horizontal surface. (a) Calculate the total energy of the system and the maximum speed of the object if the amplitude of the motion is 3.00 cm. E =  J vmax =  m/s (b) What is the velocity of the object when the displacement is 2.00 cm?±  m/s(c) Compute the kinetic and potential energies of the system when the displacement is 2.00 cm. KE =  J PEs =  J

A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring with k=100 N/m. At t=0, the mass is at x=-10 cm and is moving with velocity v=-15 m/s.  A) What is the total energy of the system? B) What is the position of the mass as a function fo time, x(t)? C) What is the acceleration of the mass at t=3.5 sec?   note: Please answer with most steps explained. Thank you!!! :)

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