Home
Class 12
PHYSICS
Four identical metal butterflies are han...


Four identical metal butterflies are hanging from a light string of length 5l at equally placed points as shown. The ends of the string are attached to horizontal fixed support. The middle section of the string is horizontal . The relation between the angle `theta_1` and `theta_2` is given by

A

`sintheta_1=2sintheta_2`

B

`2costheta_1=sintheta_2`

C

`tantheta_1=2tantheta_2`

D

`theta_2lttheta_1` and no other conclusion can be derived.

Text Solution

Verified by Experts

The correct Answer is:
C

`T_1sintheta_1=2mg`
`T_2sintheta_2=mg`
`T_1costheta_1=T_2costheta_2`
`2mgcottheta_1=mgcottheta_2`
`impliestantheta_1=2tantheta_2`
Promotional Banner

Similar Questions

Explore conceptually related problems

A stone hanging from a massless string of length 15 m is projected horizontally with speed 12ms^(-1) . The speed of the particle at the point where the tension in the string is equal to the weight of the particle, is close to

A heavy particle hanging from a string of length I is projected horizontally with speed sqrt(gl) . Find the speed of the particle at the point where the tension in the string equals weight of the particle.

A particle is rotated in a vertical circle by connecting it to a string of length l and keeping the other end of the string fixed. The minimum speed of the particle when the string is horizontal for which the particle will complete the circle is

In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle theta with the vertical.

A heavy disc with radius R is rolling down hanging on two non-stretched string wound around the disc very tightly. The free ends of the string are attached to a fixed horizontal support. The strings are always tensed during the motion. At some instant, the angular velocity of the disc is omega , and the angle between the strings is alpha . Find the velocity of centre of mass of the disc at this moment

The ring shown in fig. is given a constant horizontal acceleration (a_(0)=g/sqrt(3)) . The maximum deflection of the string from the vertical is theta_(0) . Then

A stone hanging from a massless string of length 15m is projected horizontally with speed sqrt(147) ms^(-1) Then the Speed of the particle, at the point where tension in string equals the weight of particle, is

A particle is suspended by a light vertical inelastic string of length 1 from a fixed support. At its equilbrium position it is projected horizontally with a speed sqrt(6 g l) . Find the ratio of the tension in the string in its horizontal position to that in the string when the particle is vertically above the point of support.

A rod is supported horizontally by means of two strings of equal length as shown in figure. If one of the string is cut. Then tension in other string at the same instant will.

A string of lenth l fixed at one end carries a mass m at the other end. The strings makes (2)/(pi)revs^(-1) around the axis through the fixed end as shown in the figure, the tension in the string is