Circular Motion questions with solutions

Showing 1–10 of 246 questions

• Multi-correctmediumCircular Motionrelative angular velocity and radius of curvature

  Two particles A and B move on the same circle with angular positions $\theta_{A}$ = 2t² + 3t and $\theta_{B}$= t² + 5t. Which statements are correct?

  Select all that apply

  • Option A

    $\omega_{A}$ = 4t + 3

  • Option B

    $\omega_{A}$ = 2t + 5

  • Option C

    $\omega_{AB}$ = 2t - 2

  • Option D

    At t = 1 s, their relative angular velocity is zero

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• MCQeasyCircular Motionfriction and circular motion

  A rider moves at constant height in a horizontal circle on the inner wall of a cylindrical Well of Death. Which force provides the centripetal force?

  Options

  • Option A

    Weight

  • Option B

    Friction

  • Option C

    Normal reaction from the wall

  • Option D

    Resultant of weight and friction

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• MCQeasyCircular Motionrelative angular velocity and radius of curvature

  Two moving particles P and Q are 10m apart at a certain instant. The velocity of P is 8m/s making an angle of 30° with the line joining P and Q and Q is moving with 6m/s making an angle of 30° with PQ as shown in figure. Then angular velocity of P with respect to Q is

  

  Options

  • Option A

    Zero

  • Option B

    0.1 rad/s

  • Option C

    0.4 rad/s

  • Option D

    0.7 rad/s

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• NumericeasyCircular Motionfriction and circular motion

  A frictionless banked circular road has radius 50 m and banking angle 45°. Take g = 10 m/s². If the design speed is v = 10√N m/s, find N.

  Your answer

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• MCQeasyCircular Motionkinematics of circular motion

  Two racing cars of masses m and 4m move in circles of radii r and 2r and each completes one revolution in the same time. Find ratio of angular speeds of the first and second cars.

  Options

  • Option A

    8:1

  • Option B

    4:1

  • Option C

    2:1

  • Option D

    1:1

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• MCQeasyCircular Motionkinematics of circular motion

  A wheel starts from rest and rotates with uniform angular acceleration about its fixed axis. During the first 2 s it turns through an angle θ₁. During the next 2 s, from t = 2 s to t = 4 s, it turns through an angle θ₂. What is the ratio θ₂ / θ₁?

  Options

  • Option A

    6

  • Option B

    3

  • Option C

    4

  • Option D

    1 /3

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• MCQmediumCircular Motioncentripital force and centrifugal force

  A roller coaster reaches the top of a hill of radius of curvature 20 m. Riders experience weightlessness. With g≈9.8 m/s², the car speed lies between:

  Options

  • Option A

    14 and 15 m/s

  • Option B

    15 and 16 m/s

  • Option C

    16 and 17 m/s

  • Option D

    13 and 14 m/s

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• Multi-correctmediumCircular Motioncentripital force and centrifugal force

  A student skates up a ramp inclined at 30°. Starting at the bottom with speed v₀, the student turns around along a semicircular path xyz of radius R and reaches maximum height h at y. Energy loss is negligible, and at y the required centripetal force is provided only by weight. Choose the correct statements.

  

  Select all that apply

  • Option A

    v₀²-2gh=(1/2)gR

  • Option B

    v₀²-2gh=(√3/2)gR

  • Option C

    Centripetal force required at x and z is zero

  • Option D

    Centripetal force required is maximum at x and z

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• A/ReasyCircular Motionkinematics of circular motion

  Evaluate the following statements.

  Assertion

  Assertion (A): A particle can have zero angular velocity but non-zero angular acceleration at an instant.

  Reason

  Reason (R): Zero angular velocity at one instant does not imply that angular velocity is constant with time.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• MCQmediumCircular Motionrelative angular velocity and radius of curvature

  A projectile is projected from the ground with speed 20 m/s at an angle 60° above the horizontal. Neglect air resistance and take g = 10 m/s². The radius of curvature of its trajectory at the highest point is:

  Options

  • Option A

    5 m

  • Option B

    10 m

  • Option C

    20 m

  • Option D

    40 m

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