A particle moves in the x-y plane under ...

A particle moves in the x-y plane under the action of a force `vecF` such that the value of its linear momentum `vecP` at any time t is `P_(x)=2` cost and `p_(y)=2sint`. What is the angle `theta` between `vecF` and P at a given time t?

`theta=0^(@)`

`theta=30^(@)`

`theta=90^(@)`

`theta=180^(@)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SCALARS AND VECTORS
TARGET PUBLICATION|Exercise Evaluation Test|19 Videos
SCALARS AND VECTORS
TARGET PUBLICATION|Exercise Critical Thinking|36 Videos
REFRACTION OF LIGHT
TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

A paarticle moves in the xy-plane under the action of a force F such that the componentes of its linear momentum p at any time t and p_(x)=2cos t, p_(y)=2sin t. the eangle between F and p at time l is

A particle moves in the x-y plane under the action of a force vec F such that its linear momentum vec P at any time t is vec P=2cost hati+2sint hatj . The angle between vec F and vec P at a given time t will be

A particle moves in the xy plane under the influence of a force such that its linear momentum is vecP(t) = A [haticos(kt)-hatjsin(kt)] , where A and k are constants. The angle between the force and momentum is

A particle moves in the X-Y plane under the influence of a force such that its linear momentum is oversetrarrp(t)=A[haticos(kt)-hatjsin(kt)] , where A and k are constants. The angle between the force and the momentum is

A particle moves in the x-y plane under is influence of a force such that its linear momentum is vec(P)(t)=A[hat(i)cos (kt)-hat(j)sin (kt)] , where A and k are constants Angle between the force and the momentum is:

A particle of mass m moves from A to C under the action of force vecF = 2xyhati + y^2 hatj , along different paths as shown in figure.

The momentum of a body is vec P =2 cos t hati +2 sin t hatj. What is the angle between the force vec F acting on the body and the momentum vec P ?

A particle moves in x-y plane and at time t is at the point (t^2, t^3 -2 t), then which of the following is/are correct?

TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking

The angle theta between the vector vec(p)=hat(i)+hat(j)+hat(k) and uni...
Text Solution
|
Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is
Text Solution
|
A particle moves in the x-y plane under the action of a force vecF suc...
Text Solution
|
In a triangle ABC, the sides AB and AC represented by the vector 3hat(...
Text Solution
|
In a clockwise system :-
Text Solution
|
For vectors vec(A) and vec(B) making an angle theta which one of the f...
Text Solution
|
A vector vec(A) points verically upward and vec(B) points towards nort...
Text Solution
|
Which of the following relation is not correct?
Text Solution
|
What is the value of linear velocity. If vec(omega)=3hat(i)-4hat(j)+ha...
Text Solution
|
If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...
Text Solution
|
The moment of the force, vec(A)xxvec(B)=vec(B)xxvec(A), at (2,0,-3), a...
Text Solution
|
A force vec F = prop hat i + 3 hat j + 6 hat k is acting at a point ve...
Text Solution
|
The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) +...
Text Solution
|
Two adjacent sides of a parallelogram are respectively by the two vect...
Text Solution
|
Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...
Text Solution
|
The component of a vector r along X-axis will have maximum value if
Text Solution
|
If |vecA xx vecB| = sqrt3 vecA *vecB, then the value of |vecA + vecB| ...
Text Solution
|
Sum of magitude of two fores is 25 N. The resultant of these forces is...
Text Solution
|
Consider a particle on which constant forces vec(F) = hat(i) + 2hat(j)...
Text Solution
|
A particle moves from a point (-2hat(i) + 5hat(j)) " to" " " (4hat(j) ...
Text Solution
|