Simple Harmonic Motion SAQ

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What is the relationship between the restoring force and the displacement of an object, as described by Hooke's Law?

The restoring force is proportional to the displacement.

What is the significance of the negative sign in the equation F = -ks?

The negative sign indicates that the restoring force is in the opposite direction to the displacement.

What is the unit of the elastic constant (k) in Hooke's Law?

Newton per meter (N m-1)

What happens when an object is subjected to a force that exceeds its elastic limit?

The object does not return to its original state. Signup and view all the answers

How is the elastic constant (k) related to the mass (m) and acceleration due to gravity (g) in Hooke's Law?

k = mg/s Signup and view all the answers

What are the two essential conditions for a body to undergo simple harmonic motion?

<ol> <li>The acceleration of the body is directly proportional to its distance from a fixed point on its path. 2. The acceleration is always directed towards that point.</li> </ol> Signup and view all the answers

What type of energy conversions occur during simple harmonic motion?

The potential energy is converted into kinetic energy and vice versa. Signup and view all the answers

What is the physical significance of the angular frequency (ω) in the equation of simple harmonic motion?

It represents the frequency of oscillations or the number of oscillations per unit time. Signup and view all the answers

Give an example of a real-life situation where simple harmonic motion occurs.

The rise and fall of the tide. Signup and view all the answers

What is the primary basic formula related to simple harmonic motion? (Hint: a = -**)

a=-ω^2 s The acceleration is proportional to the displacement from the equilibrium position. Signup and view all the answers

What is the definition of a cycle or oscillation in the context of simple harmonic motion?

A cycle or oscillation is the movement from a particular position back to that same position. Signup and view all the answers

What is the unit of measurement for the amplitude of an object in simple harmonic motion?

meters (m) Signup and view all the answers

How is the period (T) of an object executing simple harmonic motion related to its frequency (f)? i.e. what is the formula relating the two?

T = 1/f Signup and view all the answers

What is the unit of measurement for the frequency of an object in simple harmonic motion?

Hz (cycles per second) Signup and view all the answers

What is the relationship between the period (T) and angular frequency (ω) of an object executing simple harmonic motion?

T = 2π/ω Signup and view all the answers

What is the relationship between the angular frequency (ω) and the elastic constant (k) and the mass (m) of an object in simple harmonic motion?

ω = √(k/m) Signup and view all the answers

How does the mass of an object affect its angular frequency (ω) in simple harmonic motion?

An increase in mass decreases the angular frequency. Signup and view all the answers

What is the effect of increasing the elastic constant (k) on the angular frequency (ω) of an object in simple harmonic motion?

An increase in the elastic constant increases the angular frequency. Signup and view all the answers

What does the angular frequency (ω) of an object in simple harmonic motion represent physically?

The angular frequency represents the rate of rotation of the object's oscillation or vibration. Signup and view all the answers

What is the primary force governing the oscillation of a simple pendulum?

Gravitational force Signup and view all the answers

What is the significance of the phrase 'small angle' in the context of a simple pendulum?

It ensures that the pendulum's motion is simple harmonic Signup and view all the answers

How does the length of the string or rod affect the period of a simple pendulum?

An increase in the length of the string or rod increases the period of the pendulum Signup and view all the answers

What is the role of the pendulum bob in a simple pendulum?

It is the mass that oscillates about its equilibrium position Signup and view all the answers

What is the relationship (formula) between the length of the string or rod and the gravitational acceleration in the equation for the period of a simple pendulum?

T = 2π√(l/g) The period is inversely proportional to the square root of the gravitational acceleration Signup and view all the answers