Work and Mechanical Energy

What is the frequency of a merry-go-round that goes around 8 times a second?

Rawan stretches a spring and induces 20.0 kJ of elastic potential energy stored when it is stretched out. If its spring constant is 100.0 N/m, how far did Lexi stretch the spring?

A force of 30 N stretches a spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?

The angular frequency of a pendulum oscillating with a period of 2 secs, is:

The period of an oscillation of a horizontal elastic pendulum formed of a mass m=9Kg and a spring of stiffness k=100N/m.

The angular frequency of a spring-mass system of mass 100 g and stiffness K=10N/m is:

The period of motion of a spring-mass system oscillating under friction is called:

In a spring mass-system , the stiffness of the spring is quadrupled (x4), how is the period of the oscillations affected?

In a spring mass-system , the mass is quadrupled (x4), how is the frequency of the oscillations affected?

In a simple harmonic motion, the period of oscillations is called:

The pseudo period compared to proper period is:

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?

The initial phase (φ) of an oscillator starting at x=0, with an initial speed v₀>0 is;

Note: x=x_msin(ωt+φ)

In a free damped oscillation, the Mechanical energy

In a Simple harmonic motion, the acceleration of motion is:

GS only

A pendulum is 0.75 meters long and has a period of 4.17 seconds. The Pendulum is on an unknown planet. What is the gravity of the Unknown Planet? (in m/sec²)

GS-only

What is the period (in secs) of a simple pendulum which has a length of 40m (use g=10m/s²)?

GS-only

Two torsion wires of torsions constants C₁ and C₂, carry identical masses. Their periods of oscillations are related by: T₁=2T₂.

The relation between C₁ and C₂ is:

GS-only

A torsion pendulum is formed of a wire of torsion constant "C", connect to a disc of mass 2kg and radius 1m, oscillates with a period of 2 secs. The torsion constant C is:

GS-only

Two identical torsion wires of torsions constants C₁ and C₂, carrying 2 disks of equal radii and masses m₁=2m₂. Their periods of oscillations are related by: