A simple pendulum is vibrating with an a...

A simple pendulum is vibrating with an angular amplitude of `90^(@)` as shown in figure. For what value of `alpha` (angle between string and vertical) during its motion, the total acceleration is directed horizontally ?

`tan^(-1)((1)/(2))`

`tan^(-1)((1)/(sqrt(2)))`

`cos^(-1)(1//sqrt(3))`

`sin^(-2)(1//sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CIRCULAR MOTION
DC PANDEY|Exercise More than One Option is Correct|13 Videos
CIRCULAR MOTION
DC PANDEY|Exercise Comprehension|13 Videos
CIRCULAR MOTION
DC PANDEY|Exercise JEE Main|23 Videos
CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION
DC PANDEY|Exercise Level 2 Subjective|21 Videos
COMMUNICATION SYSTEM
DC PANDEY|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum is oscillating with an angular amplitude of 90^(@) as shown in the figure. The value of theta for which the resulting acceleration of the bob is directed (i) vertically downward, (ii) vertically upward and (iii) horizontally is

a simple pendulum with a bob of mass m savings with an angular amplitude of 40^(@) . When its angular displacement is 20^(@) , the tension in the strings is-

A simple pendulum is oscillating with angular displacement 90^(@) For what angle with vertical the acceleration of bob direction horizontal?

A simple pendulum 4m long swing with an amplitude of 0.2m . What is its acceleration at the ends of its path?

A simple pendulum with a bob of mass m swings with an angular amplitude of 40^@ . When its angular displacement is 20^@ , the tension in the string is greater than mg cos 20^@

A simple pendulum swings with angular amplitude theta . The tension in the string when it is vertical is twice the tension in its extreme position. Then, cos theta is equal to

A simple pendulum with a bob of mass 'm' swings with angular amplitude of 60^@ . When its angular displacement is 30^@ , the tension in the strings would be

Identify wrong statements among the following The greater the mass of a pendulum bob, the shorter is its frequency of oscillation A simple pendulum with a bob of mass M swings with an angular amplitude of 40^(@) . When its angular amplitude is 20^(@) , the tension in the string is less than Mgcos 20^(@) . (3) The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum. As the length of a simple pendulum is increased, the maximum velocity of its bob during its oscillation will also decreases.

A simple pendulum has a bob of mass m and swings with an angular amplitude phi . The tension in thread is T . At a certain time the string makes an angle theta with the vertical (theta le phi)

DC PANDEY-CIRCULAR MOTION-JEE Advanced

A particle starts travelling on a circle with constant tangential acce...
Text Solution
|
A block of mass m is placed inside a smooth hollow cylinder of radius ...
Text Solution
|
A simple pendulum is vibrating with an angular amplitude of 90^(@) as ...
Text Solution
|
A ball of mass m is attached to one end of a light rod of length l, th...
Text Solution
|
A particle is given an initial speed u inside a smooth spherical shell...
Text Solution
|
A bob is suspended from a crane by a cable of length l=5 m. The crane ...
Text Solution
|
A smooth spehre of radius R is made to translate oin a straight line w...
Text Solution
|
Two bodies of masses m and 4 m are attached with string as shown in th...
Text Solution
|
Two beads A and B of equal mass m are connected by a light inextensibe...
Text Solution
|
A small block of mass m is released from rest from point A inside a sm...
Text Solution
|
An automobile enters a turn whose radius is R. The road is banked at a...
Text Solution
|
A ball of mass 1 kg is released from position A inside a wedge with a ...
Text Solution
|
A partical of mass m oscillates along the horizontal diameter AB insi...
Text Solution
|
A bead of mass m is attached to one end of a spring of natural length ...
Text Solution
|
In the above problem, tangential acceleration of the bead just after i...
Text Solution
|
A particle is moving in a circular path. The acceleration and momentum...
Text Solution
|
A ball of mass m is rotating in a circle of radius r with speed v insi...
Text Solution
|
A block of mass m=1kg has a speed v = 4 m//s at theta = 60^(@) on a ci...
Text Solution
|
Two blocks of masses 1 kg and 2 kg are joined by a massless inextensib...
Text Solution
|
Two different blocks of equal mass m are released from two positions a...
Text Solution
|