A uniform sphere of weight W and radius 3,m is being held by a string of length 2,m , attached to a

English

Gujarati

Hindi

4-1.Newton's Laws of Motion

hard

A uniform sphere of weight $W$ and radius $3\,m$ is being held by a string of length $2\,m$ , attached to a frictionless wall as shown in the figure. The tension in the string will be

A

$5\,W/4$

B

$15\,W/4$

C

$15\,W/16$

D

$5\,W/3$

Solution

$\mathrm{W}=\mathrm{T} \sin \theta$

$\cos \theta=3 / 5 \Rightarrow \quad \theta=53^{\circ}$

$\mathrm{T}=\frac{\mathrm{W}}{\sin 53^{\circ}}=\frac{5}{4} \mathrm{W}$

Standard 11

Physics

Share

Similar Questions

In the figure shown, a balloon is pressed against a wall. It is in equilibrium and maximum compresed state.$\vec F_1\,=$ force of balloon on hand of man $;$ $\vec F_2\,=$ force of balloon on wall $;$ $\vec F_3\,=$ friction $;$ $\vec F_4=$ weight of balloon. Choose the correct statement.

medium

Ten one-rupee coins are put on top of each other on a table. Each coin has a mass $m$ Give the magnitude and direction of

$(a)$ the force on the $7^{\text {th }}$ coin (counted from the bottom) due to all the coins on its top.

$(b)$ the force on the $7^{\text {th }}$ coin by the elghth coin,

$(c)$ the reaction of the $6^{\text {th }}$ coin on the $7^{\text {th }}$ coin.

medium

A man is pulling on a rope attached to a block on a smooth horizontal table. The tension in the rope will be the same at all points

easy

A sperical ball of mass $m=5\,kg$ rests between two planes which make angles of $30^{\circ}$ and $45^{\circ}$ respectively with the horizontal. The system is in equilibrium. Find the normal forces exerted on the ball by each of the planes. The planes are smooth.

hard

Explain main type of force with suitable example.

easy