Oscillations

$f = T$

$f = 1/T$

$f = T^2$

$f = \sqrt{T}$

Acts in the same direction as the displacement.

Is constant in magnitude and direction.

Always acts to bring an object back to its equilibrium position.

Increases non-linearly with the distance from equilibrium.

Net force is maximum, acceleration is zero.

Net force is zero, acceleration is maximum.

Net force and acceleration are both maximum.

Net force and acceleration are both zero.

$10 N$

$20 N$

$40 N$

$80 N$

It remains the same.

It is halved.

It is doubled.

It is quadrupled.

The restoring force always opposes the motion, slowing the block down.

The restoring force always assists the motion, speeding the block up.

The restoring force initially opposes the motion but then assists it as the block passes the equilibrium position.

The restoring force initially assists the motion but then opposes it as the block passes the equilibrium position.

2.5 m/s$^2$

-2.5 m/s$^2$

12.5 m/s$^2$

-12.5 m/s$^2$

Acceleration is proportional to the square of the displacement.

Acceleration is inversely proportional to the displacement.

Acceleration is proportional to the displacement and in the same direction.

Acceleration is proportional to the displacement and in the opposite direction.

Kinetic energy remains constant while potential energy varies.

Potential energy remains constant while kinetic energy varies.

Total mechanical energy increases due to the restoring force.

Energy is continuously exchanged between kinetic and potential forms, with the total mechanical energy remaining constant.

0.5 J

1 J

2 J

5 J