A rod of length and mass is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass moving on the plane with velocity strikes the rod at point making angle with the rod. The collision is elastic. After collision,

a) |
The angular velocity of the rod will be 72/55 |

b) |
The center of the rod will travel a distance in the time in which it makes half rotation |

c) |
Impulse of the impact force is |

d) |
None of these |

A rod of length and mass is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass moving on the plane with velocity strikes the rod at point making angle with the rod. The collision is elastic. After collision,

a) |
The angular velocity of the rod will be 72/55 |

b) |
The center of the rod will travel a distance in the time in which it makes half rotation |

c) |
Impulse of the impact force is |

d) |
None of these |

1 Answer

5876 Votes

3537

**(a,b,c)**

The ball has component of its velocity perpendicular to the length of the rod immediately after collision. is the velocity of CM of the rod and is angular velocity of the rod just after collision. The ball strikes the rod with a speed of in the perpendicular direction and its component along the length of the after the collision is unchanged

Using for the point of collision

Velocity of separation= Velocity of approach

…(i)

Conserving linear momentum (of rod+ particle) in the direction perpendicular to the rod

…(ii)

Conserving angular momentum about point as shown in the figure

Time taken rotate by angle,

In the same time, distance travelled =

Using angular impulse- angular momentum equation

[Using impulse-momentum equation on the rod

In the following question letters/letter groups are arranged in a particular order with some underlying criterion. Study the order and choose the answer from the alternative to fill the gaps.

DKY, FJW, HIU, JHS, ……… |
|||||||

(a) |
KGR |
(b) |
KFR |
(c) |
KFS |
(d) |
LGQ |

We hope we have given the updated helpful answer / content for your query in an easily accessible format to help you in preparing adequately. We do offer free support materials, 11th maths guide 11th maths guide 12th maths guide 10th maths guide, also for all the classes books and guide to all the students who sign up for SaraNextGen. Apart from traditional textbook queries, we've got conjointly provided further high order level thinking issues, that are seemingly to be expected in boards and competitive exams. It includes conceptual queries, MCQs, Long and short answer type queries, etc. These Questions are designed to learn each student and academics by providing chapter-wise further issues focusing totally on testing conceptual information with applications. Here, we've got provided a number of the necessary ways in which within which the solutions of all the Questions will profit students of class 1 to 12. If you have any queries, drop a message to us and we will get back to you at the earliest.