Four forces are acting at a point P in equilibrium as shown in figure. ratio of force F_{1} to F

English

Gujarati

Hindi

4-1.Newton's Laws of Motion

medium

Four forces are acting at a point $P$ in equilibrium as shown in figure. The ratio of force $F_{1}$ to $F_{2}$ is $1: x$ where $x =....$

A$2$

B$1$

C$4$

D$3$

(JEE MAIN-2022)

Solution

$\theta=45^{\circ}$
Taking components along $x\,\,and\,\,y$
$F _{1}=\sqrt{2}-\frac{1}{\sqrt{2}}=\frac{2-1}{\sqrt{2}}=\frac{1}{\sqrt{2}}$
$F _{2}=\sqrt{2}+\frac{1}{\sqrt{2}}=\frac{2+1}{\sqrt{2}}=\frac{3}{\sqrt{2}}$
$F _{1}: F _{2}=1: 3$
$x =3$

Standard 11

Physics

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

A parachutist of weight $‘w’$ strikes the ground with his legs fixed and comes to rest with an upward acceleration of magnitude $3 \,g$. Force exerted on him by ground during landing is

easy

There are three forces $\vec {F_1}$, $\vec {F_2}$ and $\vec {F_3}$ acting on a body, all acting on a point $P$ on the body. The body is found to move with uniform speed.

$(a)$ Show that the forces are coplanar.

$(b)$ Show that the torque acting on the body about any point due to these three forces is zero.

medium

Write different type of common forces.

medium

A weight can be hung in any of the following four ways by string of same type. In which case is the string most likely to break?

medium

Four forces are acting at a point $P$ in equilibrium as shown in figure. The ratio of force $F_{1}$ to $F_{2}$ is $1: x$ where $x =....$

Solution

Similar Questions

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.

A parachutist of weight $‘w’$ strikes the ground with his legs fixed and comes to rest with an upward acceleration of magnitude $3 \,g$. Force exerted on him by ground during landing is

Write different type of common forces.

A weight can be hung in any of the following four ways by string of same type. In which case is the string most likely to break?

Start a Free Trial Now