Home
Class 12
PHYSICS
A simple pendulum consisting of a mass M...

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle `alpha`. A pin is located at a distance l below the pivot point. When the pendulum swings down, the string hits the pin as shown in figure. The maximum angle `theta` which the string makes with the vertical after hitting the pin is

A

`cos^(-1)[(L cos alpha+l)/(L+l)]`

B

`cos^(-1)[(Lcos alpha-l)/(L-l)]`

C

`cos^(-1)[(L cos alpha+l)/(L-l)]`

D

`cos^(-1)[(L cos alpha-l)/(L+l)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA JEE MOCK TEST 48

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • NTA JEE MOCK TEST 50

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum consists of a ball of mass m connected to a string of length L . The ball is pulled aside so that the string makes an angle of 53^(@) with the verticle and is released. Find the ratio of the minumum and the tension in the string.

A ball A of mass m attached to a string of length L is released when the string is horizontal. It strikes another ball B of mass 2 m suspended to another string of length L at rest as shown. Find the maximum angle made by the string if the collision is completely inelastic.

Knowledge Check

  • A pendulum consists of a small mass m at the end of a string of length L. The pendulum is pulled aside making an angle theta with the vertical and released. Taking the suspension point as the axis, at the instant of release

    A
    torque on the pendulum is mgL `cos theta`
    B
    torque on the pendulum is mgL `sin theta`
    C
    angular acceleration of pendulum is `( g cos theta)/( L)`
    D
    angular acceleration of pendulum is `( g sin theta)/( L)`

  • A body of mass m is tied to a string of length l and whirled in a verticle cirlce. The velocity of the body at the lowest position is u. Then the tension in the string at a position when the string makes an angle theta with the vertical is

    A
    `(m u^2)/l`
    B
    `(m u^2)/l+mg costheta`
    C
    `(m u^2)/l+mg (2costheta-3)`
    D
    `(m u^2)/l+mg (3costheta-2)`

  • A pendulum of mass m and length l is released from rest in a horizontal position. A nail, a distance d below the pivot, causes the mass to move along the path indicated by the dotted line. The minimum distance such that the mass will swing completely round in the circle shown in figure is d then (5d)/L is

    A
    2
    B
    3
    C
    4
    D
    5

    • Similar Questions

    Explore conceptually related problems

    A bob tied to an ideal string of length l is released from the horizontal position shown. A peg P whose height is adjustable, can arrest the free swing of the pendulum, as shown in Figure.

    A pendulum bob of mass m and length L is released from angle theta with the vertical. Find (a) the speed of the bob at the bottom of the swing and (b) tension in the string at that time

    A pendulum, comprising a light string of length L and a small sphere, swings in a vertical plane. The string hits a peg located a distance d below the point of suspension as shown in the figure. If the pendulum is released from the horizontal position (theta=90^(circ)) and is to swing in a complete circle centered on the peg, then the minimum value of d is k L . Find k : '(##CEN_KSR_PHY_JEE_C07_012_Q06##)'

    A particle of mass m is attached to a string of length L and given velocity sqrt(10hL) in the horizontal direction at the lowest point. Find tension in the string when the particle is at (a) (i) lowest position (ii) highest position, (b) when the string makes an angle 60^(@) with (i) lower vertical and (ii) upper vertical.

    A pendulum comprising a light string of length L and small sphere, swings in the vertical plane . The string hits a peg located a distance of bellow the point of suspension (figure). If the pendulum is released from rest at the horizontal possition (theta = 90^(@)) and is to swing in a complete circule centered on the peg, the minimum value of d is

    Home
    Profile