Resulatant of two forces, P and Q actin...

Resulatant of two forces, P and Q acting at a point is R. On doubling Q, resultant also doubles. The magnitude of the resultant also doubles when the direction of Q is made opposite. Show that `P:Q:R=sqrt(2):sqrt(3):sqrt(2)`.

Topper's Solved these Questions

VECTOR
CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Assertion -reason type)|12 Videos
VECTOR
CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Multiple correct answers type)|11 Videos
VECTOR
CHHAYA PUBLICATION|Exercise PROBLEM SET-II|34 Videos
THERMOMETRY
CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos
VISCOSITY AND SURFACE TENSION
CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

Similar Questions

Explore conceptually related problems

Resultant of two vectors vec(3p) and vec(2p) is R. If first vector is doubled then the resultant is also doubled. Calculate the angle between the two vectors.

Resultant of vectors 3P and 2P is vector R. When the first vector is doubled, R also doubles. Find the angle between the two vectors.

Resultant of two forces P and Q is sqrt(3) Q . The resultant is inclined at 30^@ with P . Show that, either P =Q or P=2Q.

The magnitude of the resultant of two forces P and Q acting at a point is (2m+1) sqrt(P^2+Q^2) When the angle between them is alpha , and is (2m-1) sqrt(P^2+Q^2) when the angle is ((pi)/(2)-alpha) . Prove that, tan alpha=(m-1)/(m+1) .

P and sqrt(3) P are two forces acting in north -west and north-east directions respectively. Find the magnitude of resultant of the forces by resolving them into perpendicular components.

Show that the absolute value of the resultant of two vectors vecP and vecQ cannot be greater than P+Q or less than P-Q.

The resultant of two forces P and Q is 5 sqrt(P^2+Q^2) when the angle between them is alpha . When the angle changes to (90^@-alpha) , the resultant becomes 3sqrt(P^2+Q^2) . Show that, tan alpha =1/3 .

CHHAYA PUBLICATION-VECTOR-PROBLEM SET-II (Hot Numerical Problems)

A ship moves due to east at 12km/hr for one hour and then turns toward...
Text Solution
|
A swimmer can swim at 3 sqrt(2) km*h^(-1) in still water. He swims acr...
Text Solution
|
A swimmer can swim at 3 sqrt(2) km*h^(-1) in still water. He swims acr...
Text Solution
|
Width of a river is l and the velocity of its current is v . A man wan...
Text Solution
|
A car travels along a straight line for first half time with speed 40k...
Text Solution
|
A bomb explodes on falling on a horizontal floor. Different parts of ...
Text Solution
|
A body during its free fall from a height H, hits an inclined plane at...
Text Solution
|
To hit a car a gun is positioned horizontally behind the car along a s...
Text Solution
|
A cricket ball, thrown upwards from a height 2 m making an angle of 30...
Text Solution
|
A tennis ball, thrown horizontally from a height of 2m , lands after ...
Text Solution
|
If for a projectile , the velocity of projection is u , range R, tim...
Text Solution
|
Locus of the path of a projectile , in a vertical plane is given by , ...
Text Solution
|
Show that for a projectile the angle between the velocity and the x-ax...
Text Solution
|
Show that the projection angle theta0 for a projectile launched from t...
Text Solution
|
A man, standing on a truck running at a uniform speed of 14.7m/s , th...
Text Solution
|
A man, standing on a truck running at a uniform speed of 14.7m/s , th...
Text Solution
|
Magnitudes of two forces acting at a point are in the ratio of 2:1 . I...
Text Solution
|
Resulatant of two forces, P and Q acting at a point is R. On doubling...
Text Solution
|
When the angle between forces P and Q is alpha, magnitude of the res...
Text Solution
|
Which of the following relations are correct for any type of motion ?...
Text Solution
|