A particle is moving in a plane with velocity given by `vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j)`, where `hat(i)` and `hat(j)` are unit vectors along x and y axes respectively. If particle is at the origin at `t=0`. Calculate the trajectory of the particle :-

The angle which the vector vec(A)=2hat(i)+3hat(j) makes with the y-axis, where hat(i) and hat(j) are unit vectors along x- and y-axis, respectively, is

The angle which the vector vec(A)=2hat(i)+3hat(j) makes with the y-axis, where hat(i) and hat(j) are unit vectors along x- and y-axis, respectively, is

A particle is moving in a plane with velocity vec(v) = u_(0)hat(i) + k omega cos omega t hat(j) . If the particle is at origin at t = 0 , (a) determine the trajectory of the particle. (b) Find its distance from the origin at t = 3pi//2 omega .

If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis respectively, the angle theta between the vector hat(i) + hat(j) + hat(k)" ""and vector" hat(j) is given by

If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis respectively, the angle theta between the vector hat(i) + hat(j) + hat(k)" ""and vector" hat(j) is given by

If hat i and hat j are unit vectors along X - and Y -axis respectively,then what is the magnitude and direction of hat i+hat j and hat i-hat j?

A particle of mass 2kg moves under a force given by vec(F)=-(8N//m)(xhat(i)+yhat(j)) where hat(i) and hat(j) are unit vectors in the x and y directions. The particle is projected from the origin in xy plane with an initial velocity vec(v)=(3m//s)hat(i)+(4m//s)hat(j) . Select correct statement(s).

A particle of mass 2kg moves under a force given by vec(F)=-(8N//m)(xhat(i)+yhat(j)) where hat(i) and hat(j) are unit vectors in the x and y directions. The particle is projected from the origin in xy plane with an initial velocity vec(v)=(3m//s)hat(i)+(4m//s)hat(j) . Select correct statement(s).

The position vector of a particle moving in x-y plane is given by vec(r) = (A sinomegat)hat(i) + (A cosomegat)hat(j) then motion of the particle is :