Home
Class 12
PHYSICS
In the following figure, a sphere of rad...

In the following figure, a sphere of radius 3m rolls on a plank. The accelerations of the sphere and the plank. The accelerations of the sphere and the plank are indicated. The value of `alpha` is

A

`3 rad//s^(2)`

B

`6 rad//s^(2)`

C

`3 rad//s^(2)` (opposite to the direction shown in figure)

D

`1 rad//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

`alpha_(1)=R alpha-alpha_(2)rArr3=alphaxx3-6rArr alpha=3 rad//s^(2)`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN|Exercise PAPER 2|60 Videos
  • TEST PAPERS

    ALLEN|Exercise PAPER 3|100 Videos
  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|45 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

In Fig a sphere of radius 2 m rolls on a plank. The accelerations of the sphere and the plank are indicated. The value of alpha is

A hollow sphere starts pure rolling from rest as shown. The acceleration of centre of mass of sphere is

A sphere rolls down on an inclied plane of inclination theta . What is the acceleration as the sphere reaches bottom ?

A sphere rolls down on an inclined plane of inclination q. What is the acceleration as the sphere reaches bottom?

A plank of mass m_(1) with a uniform solid sphere of mass m_(2) placed on it rests and a force F is applied to the plank. The acceleration of the plank provided there is no sliding between the plank and the sphere is (F/(m_(1)+n/7m_(2))) then the value of n is

A plank of mass M is placed on a rough horizontal force F is applied on it A man of mass m rens on the plank find the acceleration of the man so that the plank does not move on the surface . The coefficent of friction between the plank and the surface is mu Assume that the man does not slip on the plank

A boy pushes a cylinder of mass M with the help of a plank of mass m as shown in figure. There is no slipping at any contact. The horizontal component of the force applied by the boy on the plank is F. Find (a) The acceleration of the centre of the cylinder (b) The friction force between the plank and the cylinder

ALLEN-TEST PAPERS-MATHS
  1. In the following figure, a sphere of radius 3m rolls on a plank. The a...

    Text Solution

    |

  2. If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)...

    Text Solution

    |

  3. Let omegabe a complex number which satisfies iomega=(u^(2)-1)/(u^(2)+...

    Text Solution

    |

  4. If the function f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax...

    Text Solution

    |

  5. The value of the following limit lim(ntooo) n(n+1)(ln(1+(1)/(n))-sin((...

    Text Solution

    |

  6. number of solutions for x between 3 and 15 if int(0)^(x)[t]dt=int(0)^(...

    Text Solution

    |

  7. If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 ...

    Text Solution

    |

  8. A transversal cuts side AB and AD and diagonal AC of parallelogram ABC...

    Text Solution

    |

  9. Consider curve y=(1+x)^(y)+sin^(-1)(sin^(2)x). Which of the following ...

    Text Solution

    |

  10. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  11. Suppose y=f(x)andy=g(x) are two functions whose graph intersect at th...

    Text Solution

    |

  12. A function y=f(x) satisfies f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)...

    Text Solution

    |

  13. Let(1+X^(2))^(2)(1+X)^(n)=sum(k=0)^(n+4)a(k)X^(k).ifa(1),a(2),a(3) ar...

    Text Solution

    |

  14. If f(x) is double differentiable function such that |f"(x)|le5 for ea...

    Text Solution

    |

  15. overline(x)andoverline(y) be two variable vectors satisfying simultan...

    Text Solution

    |

  16. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  17. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  18. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |

  19. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |