As we know that in case of mass spring system
Total mechanical energy is given by
where A is amplitude of motion and k is spring constant
Therefore, A = 0.054m = 5.4 cm
The mechanical energy of a mass-spring system is 0.484 J. If the force constant of the...
A mass-spring system oscillates with an amplitude of 10 cm. If the force constant of the spring of 315 N/m and the mass is 0.8 kg, what is the magnitude of the maximum acceleration of the mass in m/s2? Enter a number with one digit behind the decimal point.
A 0.40-kg mass is attached to a spring with a force constant of k = 207 N/m, and the mass–spring system is set into oscillation with an amplitude of A = 2.0 cm. Determine the following. (a) mechanical energy of the system _____ J (b) maximum speed of the oscillating mass _____ m/s (c) magnitude of the maximum acceleration of the oscillating mass _____ m/s2 A 0.40-kg mass is attached to a spring with a force constant of k =...
A 0.40-kg mass is attached to a spring with a force constant of k = 337 N/m, and the mass-spring system is set into oscillation with an amplitude of A = 2.2 cm. Determine the following. (a) mechanical energy of the system J (b) maximum speed of the oscillating mass m/s (c) magnitude of the maximum acceleration of the oscillating mass m/s2
3.) An oscillating block-spring system has a mechanical energy of 1 J, an amplitude of 10 cm and a maximum speed of 1.2 m/s. Find (a) the spring constant (b) the mass of the block and (c) the frequency of oscillation. [200 N/m; 1.39 kg; f#1.91 Hz
A 0.40-kg mass is attached to a spring with a force constant of k = 337 N/m, and the mass-spring system is set into oscillation with an amplitude of A = 3.1 cm. Determine the following. (a) mechanical energy of the system (b) maximum speed of the oscillating mass m/s (c) magnitude of the maximum acceleration of the oscillating mass m/s2
An oscillating block-spring system has a mechanical energy of 2.49 J, an amplitude of 12.7 cm, and a maximum speed of 1.28 m/s. Find (a) the spring constant, (b) the mass of the block and (c) the frequency of oscillation. (a) Number Units (b) Number Units (c) Number i Units
A metal body with a mass 4.00 kg is connected to a spring with a force constant of 325 N/m, and it oscillates horizontally with an amplitude of 2.20 cm. (a) What is the total mechanical energy (in J) of the body–spring system? J (b) What is the maximum speed (in m/s) of the oscillating body? m/s (c) What is the maximum magnitude of acceleration (in m/s2) of the oscillating body? m/s2
A metal body with a mass 5.50 kg is connected to a spring with a force constant of 325 N/m, and it oscillates horizontally with an amplitude of 4.95 cm. What is the total mechanical energy (in J) of the body–spring system? Answer- J What is the maximum speed (in m/s) of the oscillating body? Answer- m/s What is the maximum magnitude of acceleration (in m/s2) of the oscillating body? Answer- m/s^2
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the A second order mechanical system of a...
Find the mechanical energy of a block-spring system having a spring constant of 1.3 N/cm and an oscillation amplitude of 2.4 cm