Simple Harmonic Motion

Front

What is Simple Harmonic Motion (SHM)?

Back

Simple Harmonic Motion is a type of periodic motion where an object oscillates back and forth around an equilibrium position, with a restoring force proportional to the displacement from that position.

Front

What is the formula for the period of a mass-spring system?

Back

The period (T) of a mass-spring system is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant.

Front

What is the relationship between kinetic energy (E_k) and displacement in SHM?

Back

In SHM, the kinetic energy is maximum when the displacement is zero and decreases as the displacement increases, reaching zero at maximum displacement.

Front

What factors affect the period of a pendulum?

Back

The period of a pendulum is affected by its length and the acceleration due to gravity. It is independent of the mass of the bob.

Front

How does the length of a pendulum affect its period?

Back

The period of a pendulum increases with increasing length; specifically, T ∝ √L, where T is the period and L is the length.

Front

What is the formula for the period of a simple pendulum?

Back

The period (T) of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

Front

What is the significance of the equilibrium position in SHM?

Back

The equilibrium position is the point where the net force acting on the object is zero, and it is the central point around which the object oscillates.

Front

What happens to the velocity of an object in SHM at maximum displacement?

Back

At maximum displacement, the velocity of the object is zero, as it momentarily comes to rest before reversing direction.

Front

What is the relationship between potential energy (E_p) and displacement in SHM?

Back

In SHM, the potential energy is maximum at maximum displacement and zero at the equilibrium position, where kinetic energy is maximum.

Front

How do you calculate the spring constant (k) if given the mass (m) and period (T) of a mass-spring system?

Back

The spring constant can be calculated using the formula k = (4π²m)/(T²).