Two forces each equal to F//2 act at rig...

Two forces each equal to `F//2` act at right angle. Their effect may be neutralized by a third force acting along their bisector in the opposite direction. What is the magnitude of that third forces.

Text Solution

Verified by Experts

Rsultant of two forces:`sqrt((F//2^(2))+(F//2^(2)))=F//sqrt(2)`
The third force, should be opposite to the resultant and of same magnitude. Hence, answer is `F//sqrt(2)`.

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

VECTORS
CENGAGE PHYSICS|Exercise Exercise 3.2|13 Videos
VECTORS
CENGAGE PHYSICS|Exercise Exercise Subjective|28 Videos
VECTORS
CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos
TRAVELLING WAVES
CENGAGE PHYSICS|Exercise Integer|9 Videos
WORK, POWER & ENERGY
CENGAGE PHYSICS|Exercise Archives (integer)|4 Videos

Similar Questions

Explore conceptually related problems

What happens when force acting on an object are in opposite direction and equal?

What happens when two forces act in opposite direction?

Knowledge Check

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

A

`F//2`

B

F

C

`sqrt3`

D

`sqrt5F`

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

A

`F//2`

B

`F`

C

`sqrt(3) F`

D

`sqrt(5)F`

When two forces act in opposite directions, then net force acting two forces

A

sum of two factors

B

difference between two factors

C

both of these

D

none of these

Similar Questions

Explore conceptually related problems

When two forces act in opposite directions, then net force acting two forces :

A force acting in the opposite direction of an object in motion

A force acting in the opposite direction of an object in motion

A force acting in the opposite direction of an object in motion

If two equal forces act on the body in opposite direction, then the resultant force on the body will be

CENGAGE PHYSICS-VECTORS-Exercise 3.1

A car travles 6km towards north at an angle of 45^(@) to the east and ...
05:56
|
There are two forces vector,one of 5N and other of 2N. At what angle s...
03:15
|
Given that vec(A)+vec(B)+vec(C )=vec(0). Out of three vectors, two are...
06:39
|
If vec(A)=4hat(i)-3hat(j) and vec(B)=6hat(i)+8hat(j),then find the mag...
02:04
|
A truck travelling due to north at 20m s^(-1) turns west and travels a...
02:22
|
If the sum of two unit vectors is a unit vector,then find the magnitud...
03:22
|
The sum of the magnitudes of two forces acting at a point is 18 and th...
04:11
|
Two forces F(1)=1N and F(2)=2N act along the lines x=0 and y=0, respec...
02:57
|
Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...
02:31
|
A vector vec(a) is turned without a change in its length through a sma...
03:48
|
An object of m kg with speed of m s^(-1) strikes a wall at an angle th...
02:57
|
If A=3hat(i)+4hat(j) and B=7hat(i)+24hat(j),find the vector having the...
02:45
|
Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value...
03:34
|
Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...
02:15
|
At what angle should the two forces vectors 2F and sqrt(2) F act so ...
02:11
|
Two forces, while acting on particle in opposite directions,have the r...
04:53
|
Two forces each equal to F//2 act at right angle. Their effect may be ...
03:11
|
The resultant of two forces has magnitude 20N. One of the forces is of...
03:06
|
The resultant of vec(P) and vec(Q) is vec(R). If vec(Q) is doubled, ve...
08:07
|