Home
Class 11
PHYSICS
A bob weighing 50 gram hangs vertically ...

A bob weighing `50` gram hangs vertically at the end of a string `50 cm long`. If `20` gram force is applied horizontally, by how much distance the bob is pulled aside from its initial position when it reaches in equilibrium position?

Text Solution

Verified by Experts

Here, `m=50 gram , `F=20 g f=20 xx 980 dyne Let the bob be in equilibrium when it is at location `B`, Fig. 2(c ) . 17. Then
`F/(CB0 =(mg)/(OC) =T/(BO) or (CB)/(OC) =F/(mg) =(20 xx 980)/(50 xx 980) =0.4`
tan `theta =(CB)/(OC) =0.4 =tan 21^(0)48' so theta =21^(0)48'`
In `Delta OCB, sin 21^_(0) 48' =(CB)/(OB)
or `CB=OB sin 21 ^)(00 48' =50 xx 0. 3714 =17. 57 cm.
.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 1 SolvedExamples|17 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 SolvedExamples|31 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A bob weighing 0.06 kg hangs vertcally at the end of a sting 0.30 m long. Find the force which when applien horizontally, will pull the bob 0. 10 m aside from its initial psition.

If trolley accelerates horizontally with acceleration a then bob is displaced backward from its initial vertical position. The angular deflection of the bob in equilibrium is

A block of mass m is hung vertically from an elastic thread of force constant mg//a . Initially the thread was at its natural length and the block is allowed to fall freely. Kinetic energy of the block when it passes through the equilibrium position will be

A bob tied to the end of a string of length 2m, other end of which is fixed at a point in a vertical wall at a point O. The bob is imparted a vertical downward velocity of 5 m//s when the string is horizontal and swings in a vertical plane. Find the angular displacement of the bob from its initial position, when the string breaks. Given that the tensile strength of the string is twice the weight of the bob. Take g=10 m//s^(2)

A force of 20.0 N is required to hold a spring stretched by 5.0 cm from its equilibrium position. How much work was done in stretching the spring ?

A small ring of mass m_(1) is connected by a string of length l to a small heavy bob of mass m_(2) . The ring os free to move (slide) along a fixed smooth horizontal wire. The bob is given a small displacement from its equilibrium position at right angles to string. Find period of small oscillations.

A uniform rod of mass m, hinged at its upper end, is released from rest from a horizontal position. When it passes through the vertical position, the force on the hinge is

A bob of mass 0.1 kg hung from the ceilling of a room by a string 2 m long is set into osillation The speed of the bob at its mean position 1 m//s What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme position (b) at is mean position ?

A pendulum bob is rotated in a vertical circle with one end of string of length l fixed at a position . At a certain instant bob is at its lowest position and is moving with speed u . Calculate the magnitude of change in velocity when string becomes horizontal for a moment .