Free Simple Harmonic Motion MCQs with Answers
466 Simple Harmonic Motion MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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466 questions · page 19 of 24
- A. 8 rad/s2
- B. 16 rad/s2
- C. 10 m/s2
- D. 10 rad/s2
Explanation: a = rα where a = tangential acceleration, r = radius, α = angular acceleration Radius = diameter/2 = 2/2 = 1m α = a/r = 8/1 = 8 rad/s2
Correct answer: 8 rad/s2362. When a wheel, 1m in diameter, makes 30 rev/min, the linear speed of point on its rim in ms-1 is:
- A. 2π
- B. 3π
- C. π/2
- D. 4π
Explanation: First find the value of angular speed in rad/s ω = (30 x 2π) / 60 = π V = ω x r = π x 0.5 = π/2 (radius = diameter/2 = 1/2 = 0.5m)
Correct answer: π/2- A. 2π
- B. π/6
- C. 4π
- D. π/12
Explanation: Angular velocity for one complete rotation (Earth completes one complete rotation in 24 hours) θ = 360 = 2π ω = θ/t = 2π/24 = π/12
Correct answer: π/12- A. Reduced
- B. Half
- C. Maximum
- D. Zero
Explanation: Explanation is given below: The work done due to the centripetal force in circular motion is zero.
Correct answer: Zero- A. rω
- B. vω
- C. v/r
- D. v/r2
Explanation: V = ωr Vω = (ω r) x ω = ω2r The formula for acceleration is also; acceleration = ω2r, as this option equates to this formula it is correct.
Correct answer: vω366. The force which provides the necessary centripetal force to keep the mud in circular path is called:
- A. Cohesive force
- B. Frictional force
- C. Adhesive force
- D. Gravitational force
Explanation: When an object moves in a circular path, it experiences an inward force called centripetal force.
Correct answer: Frictional force- A. Bottom point B
- B. Point C
- C. Point D
- D. Top point A
Explanation: The tension in the cord is greatest (mv^2/r) at the bottom of the circle.
Correct answer: Bottom point B- A. Toward the centre of circle
- B. Along the tangent
- C. Away from centre of circle
- D. All of these
Explanation: The stone will move along the tangent if the string breaks.The reason for this is that the stone's velocity is tangent to the circle at…
Correct answer: Along the tangent- A. parallel to the moving tyre
- B. tangent to the moving tyre
- C. anti parallel to the moving tyre
- D. none of these
Explanation: The mud flies off the tyre of a fast moving car in the tangential direction.The reason for this is that the mud is subjected to a…
Correct answer: tangent to the moving tyre- A. B
- B. D
- C. A
- D. C
Explanation: The resultant force acting on the Moon at the instant shown is (A) towards the center of the Earth.The Moon is in a circular orbit around…
Correct answer: A- A. π2
- B. 8π2
- C. 4π2
- D. 2π2
Explanation: a_c = rω2 = 0.25x (2x 2π)2 a_c = 4π^2 rads-2
Correct answer: 4π2372. Which of the following vector relation is incorrect where the symbols have their usual meaning:
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The correct form of angular momentum is L=rxp
Correct answer: Option D- A. Quadrupled
- B. Halved
- C. Unchanged
- D. Doubled
Explanation: F = mv^2/r As F is directly proportional to v^2 And F is tendency to overturn in a circular motion.
Correct answer: Quadrupled- A. 1/2 radian
- B. 1 radian
- C. 1.5 radian
- D. 2 radian
Explanation: As we know, 1 radian = 57.3 degrees 85.95 / 57.3 = 1.5 radian
Correct answer: 1.5 radian- A. 3.12 m
- B. 3.14 m
- C. 3.16 m
- D. 3.18 m
Explanation: r = 50cm = 0.5m Circumference = 2πr = 2 x 3.14 x 0.5 = 3.14m
Correct answer: 3.14 m- A. Along the tangent of circular path
- B. Axis of rotation
- C. Inward the radius
- D. Outward the radius
Explanation: Angular velocity is a cross product using the right hand rule for direction.
Correct answer: Axis of rotation- A. π/2 radian/day
- B. π radian / day
- C. 2π/365 radian / day
- D. 365 radian / day
Explanation: Angular speed of Earth's annual rotation can be calculated by dividing the total angle it rotates through in one year ( 360 degrees or 2pi…
Correct answer: 2π/365 radian / day- A. rω2
- B. Constant
- C. Zero
- D. rω
Explanation: If an object is moving in a circle with constant angular velocity, the magnitude of the angular acceleration is zero.
Correct answer: Zero- A. Speed increases
- B. Angular velocity increases
- C. Time period increases
- D. Gravitational acceleration increases
Explanation: The time period (orbital period) of a satellite increases when the height of its orbit from the Earth's surface is increased.
Correct answer: Time period increases- A. Disc
- B. Ring
- C. Rod
- D. Sphere
Explanation: Correct answer is B. This option proposes that a ring rolling body has 50% translational kinetic energy and 50% rotational kinetic energy.
Correct answer: Ring