Home
Class 11
PHYSICS
A wheel of radius R with an axle of radi...

A wheel of radius R with an axle of radius R/2 is shown in the figure and is free to rotate about a frictionless axis through its centre and perpendicular to the page. Three forces (F, F, 2F) are exerted tangentially to the repective rims as shown in the figure.

The magnitude of the net torque acting on the system is nearly

A

3.5 FR

B

3.2 FR

C

2.5 FR

D

1.5 FR

Text Solution

Verified by Experts

The correct Answer is:
A

`tau_("Net") = F ((R)/(2)) + FR + 2FR = 3.5FR`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Angular Momentum)|52 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Work, Energy and Power)|44 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Angular Displacement, Velocity and Acceleration)|34 Videos
  • NEWTON'S LAWS OF MOTION

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise Assertion & Reason|15 Videos

Similar Questions

Explore conceptually related problems

On a disc of radius R a concentric circle of radius R//2 is drawn. The disc is free to rotate about a frictionless fixed axis through its center and perpendicular to plane of the disc. All three forces ( in plane of the disc ) shown in figure are exerted tangent to their respective circular periphery. The magnitude of the net torque ( about centre of disc ) acting on the disc is :

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

A disc of mass 2 kg and diameter 40 cm is free to rotate about an axis passing through its centre and perpendicular to its plane. If a force of 50 N is applied to the disc tangentially Its angular acceleration will be

A uniform disc of radius R and mass M can rotate on a smooth axis passing through its centre and perpendicular to its plane. A force F is applied on its rim. See fig. What is the tangential acceleration

Three rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY¢ will be

A disc has mass 9 m. A hole of radius R/3 is cut from it as shown in the figure. The moment of inertia of remaining part about an axis passing through the centre 'O' of the disc and perpendicular to the plane of the disc is :

A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is

A hole of radius R/2 is cut from a thin circular plate of raduis R as shown in the figure. If the mass of the remaining plate is M, then find moment of inertia of the plate about an axis through O perpendicular to plane

ERRORLESS-ROTATIONAL MOTION-NCERT BASED QUESTIONS (Moment of Inertia)
  1. A rod of weight w is supported by two parallel knife edges A and B and...

    Text Solution

    |

  2. A solid sphere of mass m rolls without slipping on an inclined plain o...

    Text Solution

    |

  3. A wheel of radius R with an axle of radius R/2 is shown in the figure ...

    Text Solution

    |

  4. Consider two masses with m(1) gt m(2) connected by a light inextensibl...

    Text Solution

    |

  5. The torque of force vec(F)=-3hat(i)+hat(j)+5hat(k) acting at the point...

    Text Solution

    |

  6. Two masses m1 = 1 kg and m2 = 2 kg are connected by a light inextensib...

    Text Solution

    |

  7. A pulley fixed to the ceiling carries a string with blocks of mass m a...

    Text Solution

    |

  8. Five particles of mass 2 kg each are attached to the rim of a circular...

    Text Solution

    |

  9. The moment of inertia of a body does not depend on

    Text Solution

    |

  10. Four small objects each of mass m are fixed at the corners of a rectan...

    Text Solution

    |

  11. Three particles, each of mass m grams situated at the vertices of an e...

    Text Solution

    |

  12. Point masses 1, 2, 3 "and" 4 "kg are lying at the point (0, 0, 0), (2,...

    Text Solution

    |

  13. Four point masses, each of value m, are placed at the corners of a squ...

    Text Solution

    |

  14. A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The m...

    Text Solution

    |

  15. The diameter of a thin circular disc of mass 2 kg is 0.2 m. Its moment...

    Text Solution

    |

  16. Find the out the moment of inertia of a ring having uniform mass distr...

    Text Solution

    |

  17. The moment of inertia of a sphere of mass M and radius R about an axis...

    Text Solution

    |

  18. The radius of gyration of a disc of mass 50 g and radius 2.5 cm, about...

    Text Solution

    |

  19. Moment of inertia of a ring of mass m = 3 gm and radius r = 1 cm about...

    Text Solution

    |

  20. Find the moment of inertia of a solid cylinder of mass M and radius R ...

    Text Solution

    |