# NCERT Class 11 Physics Solutions: Chapter 14 – Oscillations-Part 3

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Question 14.5:

A particle is in linear simple harmonic motion between two points, apart. Take the direction from as the positive direction and give the signs of velocity, acceleration and force on the particle when it is

At the end

At the end

At the mid-point of going towards

At away from going towards

At away from going towards and

Ataway from going towards

The given situation is shown in the following figure. Points are the two end points, with AB = 10 cm. O is the midpoint of the path.

: Zero, Positive, Positive

Explanation:

At the extreme point the particle is at rest momentarily. Hence, its velocity is zero at this point.

Its acceleration is positive as it is directed along

Force is also positive in this case as the particle is directed rightward.

: Zero, Negative, Negative

Explanation:

At the extreme point B, the particle is at rest momentarily. Hence, its velocity is zero at this point.

Its acceleration is negative as it is directed along

Force is also negative in this case as the particle is directed leftward.

: Negative, Zero, Zero

Explanation:

The particle is executing a simple harmonic motion. is the mean position of the particle. Its velocity at the mean position is the maximum. The value for velocity is negative as the particle is directed leftward. The acceleration and force of a particle executing simple harmonic motion is zero at the mean position.

: Negative, Negative, Negative

Explanation:

The particle is moving toward point O from the end B. This direction of motion is opposite to the conventional positive direction, which is from A to B. Hence, the particle’s velocity and acceleration, and the force on it are all negative.

: Zero, Positive, Positive

Explanation:

The particle is moving toward point O from the end A. This direction of motion is from A to B, which is the conventional positive direction. Hence, the values for velocity, acceleration, and force are all positive.

: Negative, Negative, Negative

Explanation:

The particle is moving toward point from the end This direction of motion is opposite to the conventional positive direction, which is from . Hence, the particle’s velocity and acceleration, and the force on it are all negative.