Centripetal & Centrifugal Forces questions with solutions

Showing 1–10 of 59 questions

• MCQeasyCircular MotionCentripetal & Centrifugal Forces

  A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3.14 s. The radius of the merrygo-round is 2 m. The centrifugal force on the child will be

  Options

  • Option A

    40 N

  • Option B

    100 N

  • Option C

    80 N

  • Option D

    50 N

  Check answerShow answer

  JEE Mains6 April 2023Shift 2Evening Shift

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  A point mass m is suspended from a light thread of length ℓ and whirled in a horizontal circle at constant speed. In the frame moving with the mass, which force diagram is correct?

  

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

  Check answerShow answer

  JEE Mains

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  Three equal particles of mass m are fixed on a massless radial string at distances r, 2r and 3r from the centre. The system rotates with angular speed ω. If T₁, T₂ and T₃ are the tensions in the string segments from the centre outward, then T₁: T₂: T₃ is:

  Options

  • Option A

    6:5:3

  • Option B

    3:5:6

  • Option C

    1:2:3

  • Option D

    6:4:2

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev/min in a horizontal plane. What is the tension in the string? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

  Options

  • Option A

    T≈6.6 N and v(max)≈35 m/s

  • Option B

    T≈13.2 N and v(max)≈20 m/s

  • Option C

    T≈6.6 N and v(max)≈20 m/s

  • Option D

    T≈20 N and v(max)≈35 m/s

  Check answerShow answer

  JEE Advanced

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  A particle attached to a light string of length ℓ moves at constant speed v in a circle on a smooth horizontal table, with the string tied to a peg at the centre. The inward resultant force is (T denotes string tension):

  Options

  • Option A

    T

  • Option B

    T+mv²/ℓ

  • Option C

    T-mv²/ℓ

  • Option D

    zero

  Check answerShow answer

  NEET 2017

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  A table with a smooth horizontal surface is placed in a cabin moving in a circle of large radius R. A small smooth pulley is fixed to the table. Two masses m and 2m on the table are connected by a string over the pulley. Initially the masses are held with the strings along the outward radial direction and then released from rest relative to the cabin. Find their initial acceleration as seen from the cabin and the tension in the string.

  

  Options

  • Option A

    a=ω²R/3, T=4mω²R/3

  • Option B

    a=2ω²R/3, T=mω²R/3

  • Option C

    a=ω²R, T=2mω²R

  • Option D

    a=0, T=mω²R

  Check answerShow answer

  JEE Advanced

  Open question & full solution →
• ParagraphmediumCircular MotionCentripetal & Centrifugal Forces

  A smooth slot lies along a diameter of a horizontal disc of radius R rotating counter-clockwise with constant angular speed ω. A small block of mass m is gently placed at r=R/2 in the slot at t=0 and is constrained to move only along the slot.

  

  Sub-question 1

  A smooth radial slot lies along a diameter of a disc of radius R rotating counter-clockwise with constant angular speed ω. A small block is gently placed at r=R/2 in the slot at t=0 and is constrained to move along the slot. Its distance r from the centre at time t is:

  Options

  • Option A

    $\frac{R}{4}$($e^{2\omega t}+e^{-2\omega t}$)

  • Option B

    (R/2)cos(2ωt)

  • Option C

    (R/2)cos(ωt)

  • Option D

    $\frac{R}{4}$$\left(e^{\omega t}+e^{-\omega t}\right)$

  Sub-question 2

  For the same rotating-disc slot system, the net reaction of the disc on the block is:

  Options

  • Option A

    -mω²R cos(ωt)ĵ-mgk̂

  • Option B

    mω²R sin(ωt)ĵ-mgk̂

  • Option C

    ½mω²R[$e^{\omega t}-e^{-\omega t}$]$\hat{j}$ + mg$\hat{k}$

  • Option D

    ½mω²R[$e^{2\omega t}-e^{-2\omega t}$]$\hat{j}$ + mg$\hat{k}$

  Check answerShow answer

  JEE Advanced 2016

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  A smooth horizontal table rotates with angular speed ω. A radial groove contains a particle initially at distance a from the axis, placed gently with no radial speed. Find its speed relative to the groove when its distance becomes L.

  Options

  • Option A

    ω√(L²-a²)

  • Option B

    ω√(2L²-a²)

  • Option C

    ω(L-a)

  • Option D

    ωL

  Check answerShow answer

  JEE Advanced

  Open question & full solution →
• Multi-correctmediumCircular MotionCentripetal & Centrifugal Forces

  In the shown figure inside a fixed hollow cylinder with vertical axis a pendulum is rotating in a conical path with its axis same as that of the cylinder with uniform angular velocity. Radius of cylinder is 30 cm, length of string is 50 cm and mass of bob is 400 gm. The bob makes contact with the inner frictionless wall of the cylinder while moving :-

  

  Select all that apply

  • Option A

    The minimum value of angular velocity of the bob so that it does not leave contact is 5 rad/s

  • Option B

    Tension in the string is 5 N for all values of angular velocity

  • Option C

    For angular velocity of 10 rad/s the bob pushes the cylinder with a force of 9 N

  • Option D

    For angular velocity 10 rad/s, tension in the string is 20 N.

  Check answerShow answer

  JEE Advanced

  Open question & full solution →
• MCQmediumCircular MotionCentripetal & Centrifugal Forces

  A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5 rad/s about point A, then tension in the spring is -

  Options

  • Option A

    0.75 N

  • Option B

    1.5 N

  • Option C

    0.25 N

  • Option D

    0.50 N

  Check answerShow answer

  JEE Mains6 April 2023Shift 1Morning Shift

  Open question & full solution →