Oscillations

What are oscillations

Periodic to-and-fro motions of a body about its mean (or equilibrium) position

What is a time period (for pendulums and NOT for circles)

It is the amount of time required by the body to complete 1 oscillation

What is a time period (for circles and NOT for pendulums)

It is the amount of time required by the body to complete 1 revolution

What is the formula for angular frequency, and what are its units?

k/m
were,

k → Stiffness of the spring (From Hooke’s law)

m→ mass

What is the formula for finding out the time of oscillation

t = (T/2⊼)*ʘ

How can you write pi in time’s terms?

T/2 = ⊼

When a particle is moving clockwise and anticlockwise, what happens to its angle?

• Anticlockwise :- +ve

• Clockwise :- -ve

Wht is the formula for the relation between velociy and distance?

V = w * √A²-x²

where,

w → Angular velocity

A → Amplitude

x → Distance

What is the formula for acceleration (w.r.t. position)?

a = -w²x

What is a second’s pendulum

It is a pendulum whose length is 1 meter and has a time period of 2 sec

What is the formula for the time period if the simple pendulum is very large compared to the radius of the Earth; What is it’s value?

It’s value is 84.6 minutes