A 1.5 kg body oscillates in SHM on a spring that, when extended 2.3 mm from its equilibrium position, has an 8.1 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 7.6 H?

A 1.5 kg body oscillates in SHM on a spring that, when extended 2.3 mm from...
Chapter 31, Problem 006 A 2.3 kg body oscillates in SHM on a spring that, when extended 2.4 mm from its equilibrium position, has an 10 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 7.1 H? (a) Number (b) Number (c) Number Units Units Units
A 0.5 kg block oscillates in SHM on the end of the spring with a spring constant of 75 N/m. Calculate the period of oscillation of the system? 05.15 O 0.51 O 1.05 O 0.051s A 0.5 kg block oscillates in SHM on the end of the spring with a spring constant of 75 N/m. The maximum speed of the block is 5.7 m/s. Calculate the mechanical energy of the system? O 8.1 O 8.0) 8.5J 9.0J
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore the vertical motion is SHM (b) A body is suspended from the(c) If the body is displaced from spring. It is in equilibrium when the equilibrium, the net force on the body upward force exerted by the stretched is proportional to its displacement. spring equals the body's weight. The oscillations are SHM Al- A hanging spring that obevs Hooke's law ΔΙ img mg
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t=2.00 seconds d) the stiffness of the spring supporting this oscillating mass
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t 2.00 seconds d) the stiffness of the spring supporting this oscillating mass =
A particle with mass 1.39 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.959 m and a duration of 127 s for 79 cycles of oscillation. Find the frequency, f the speed at the equilibrium position, Vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 54.1% of the amplitude away from the equilibrium position, U, and the kinetic energy, K, and...
A particle with mass 2.73 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.869 m and a duration of 131 s for 69 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, Vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 37.3% of the amplitude away from the equilibrium position, U, and the kinetic energy, K, and...
A block with mass m =7.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. What is the spring constant of the spring? What is the oscillation frequency? After t = 0.39 s what is the speed of the block? What is...
A particle with mass 1.09 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.891 m and a duration of 131 s for 68 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 50.3% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and...
A particle with mass 1.59 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.901 m and a duration of 125 s for 68 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 50.3% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and...