Home
Class 11
PHYSICS
Three forces acting on a body are shown ...

Three forces acting on a body are shown in figure. To have the resultant force only along the y-directon, the magnitude of the minimum additional force needed si

A

0.5N

B

1.5N

C

`(sqrt(3))/(4)N`

D

`sqrt(3)N`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Minimum additional force needed
`F=-(F_("resultant"))_(x)`
`F_("resultant")=[(4-2)(cos 30 jhatj-sin 30 hati)+( cos 60 hati +sin 60 hatj)]`
`=[2((sqrt(3))/(2)hatj-(1)/(2)hati)+((1)/(2) hati+(sqrt(3))/(2) hatj)]`
`=[(sqrt(3)+(sqrt(3))/(2))hatj+(- hati+(hati)/(2))]`
`=[-(1)/(2)hati+(3sqrt(3))/(2) hatj]=-(1)/(2)+(3sqrt(3))/(2)hatj`
`implies F_(x)=(-( hati)/(2))`
Hence, `|F|=0.5N`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Check point 5.3|20 Videos

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Check point 5.4|20 Videos

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Check point 5.1|20 Videos

  • KINEMATICS 1

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|15 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|18 Videos

Similar Questions

Explore conceptually related problems

Four forces are acting on a body as shown in figure. The magnitude of resultant of the forces is

Find the magnitude of the resultant of shown forces :-

Two forces, each equal to F, act as shown in (figure) Their resultant is

A force F is acted on a body as shown in the figure. Find the impulse of the force in first four seconds.

Three forces are acting on a body to make it in equilibrium , which set can not do it ?

Two forces of 4 dyne and 3 dyne act upon a body. The resultant force on the body can only be –

Two equal forces are acting at a point with an angle 60^(@) between them. If the resultant force is equal to 4sqrt(3)N , the magnitude of each force is

If the external forces acting on a system have zero resultant, the centre of mass

A wires PQRS carrying a current I runs along three edges of a cube of side l as shown in figure. There exists a uniform magnetic field of magnitude B along one of the sides of cube. The magnitude of the force acting on the wire is

Power of a force acting on a block varies with time t as shown in figure. Then, angle between force acting on the block and its velocity is