A body is said to perform simple harmonic motion when the restoring force acting on it is directly proportional to its displacement from the mean position and always directed towards it.
If the acceleration of a particle is directly proportional to its displacement from the mean position and is always directed towards the mean position, the motion is called simple harmonic motion.
F ∝ −x
or,
F = −k x
where,
x = displacement from mean position
k = force constant
Negative sign indicates restoring nature of force.
Q1. In simple harmonic motion, the restoring force is: A) Constant B) Proportional to velocity C) Proportional to displacement D) Proportional to acceleration Answer: C Q2. Negative sign in F = −kx indicates: A) Force is constant B) Force increases C) Force is restoring in nature D) Force is repulsive Answer: C Q3. In SHM, acceleration is maximum at: A) Mean position B) Extreme positions C) Midway D) Everywhere same Answer: B Q4. In SHM, velocity is maximum at: A) Extreme positions B) Mean position C) Halfway D) Nowhere Answer: B Q5. Which of the following motion is SHM? A) Uniform circular motion B) Free fall motion C) Motion of pendulum (small angle) D) Motion of a car Answer: C Q6. In SHM, restoring force always acts: A) Away from mean position B) Towards mean position C) Tangentially D) Randomly Answer: B Q7. The force constant k depends on: A) Displacement B) Velocity C) Nature of system D) Time Answer: C Q8. SHM is always: A) Non-periodic B) Random C) Periodic D) Circular Answer: C
Motion in which restoring force is proportional to displacement and acts towards mean position.
F = −k x
MCQs are frequently asked on definition, characteristics and examples of SHM.
