Home
Class 12
PHYSICS
A body attached at one end of a strin...

A body attached at one end of a string crosses the topmost point of a vertical circle with the critical speed Its centripetal acceleration , when the string is horizontal will be

A

g

B

3g

C

5g

D

6g

Text Solution

Verified by Experts

The correct Answer is:
B


when the body is just able to complete a vertical circle of radius r its velocity at the topmost point B is `sqrt( g r) ` and its velocity is ` c=` velocity at D `=sqrt( 3 gr ) `
` therefore ` Its centripetal acceleration ` C= (v^2)/(r ) = ( 3 gr ) /( r ) = 3g `
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-1|1 Videos
  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-2|1 Videos
  • ATOMS, MOLECULES AND NUCLEI

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|30 Videos
  • COMMUNICATION SYSTEMS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP -20|10 Videos

Similar Questions

Explore conceptually related problems

A body crosses the topmost point of a vertical circle with a critical speed. Its centripetal acceleration, when the string is horizontal will be

A mass attached to one end of a string crosses top - most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be (where, g=gravitational acceleration)

A particle crosses the topmost point C of a vertical circle with critical speed , then the ratio of velocities at points A, B and C is

A small body attached at the end of an inextensible string completes a vertical circle , then its

A body of mass 100 gram is tied at the end of a string of length 1m. It is rotated in a vertical circle at a critical speed of 4 m/s at the highest point . The tension in the string at the huighest point in its path is [ take g=10 m//s^(2) ]

A body of mass 4 kg is moved in a vertical circle with sufficient speed .Its tangential acceleration , when the string makes an angle of 30^(@) with the verticle downward is (g=10 mm/s^(2))

Consider the situation as shown in the figure. The ball attached to a string is moving in the verticle circle find the (a) centripetal acceleration and (b) tanfential acceleration when the string makes an anhle 60^(@) with lower vertical. Also, express the total acceleration in vector from taking A as origin.

A stone attached to a string is rotated in a vertical circle such that when it is at the top of the circle its speed is V and there is neither tension nor slacking in the string. The speed of stone when its angular displacement is 120^@ from the lowest point is

A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is