What displacement must be added to the displacement to give a displacement of pointing in the x-direction?
(1)
(2)
(3)
(4)
A child pulls a box with a force of \(200~\text{N}\) at an angle of \(60^{\circ}\)
1. \(100~\text{N}, ~175~\text{N}\)
2. \(86.6~\text{N}, ~100~\text{N}\)
3. \(100~\text{N}, ~86.6~\text{N}\)
4. \(100~\text{N}, ~0~\text{N}\)
A man rows a boat at a speed of \(18~\text{km/hr}\)
1. \(9~\text{km/hr}\)
2. \(18\frac{\sqrt{3}}{2}~\text{km/hr}\)
3. \(18\cos 15^{\circ}~\text{km/hr}\)
4. \(18\cos 75^{\circ}~\text{km/hr}\)
A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:
1.
2.
3.
4.
If the angle between the unit vectors and is , then is :
(1) 0
(2) 1
(3) 2
(4) 4
Two constant forces and act on a body and displace it from the position to the position . What is the work done W?
(A) 9 Joule
(B) 41 Joule
(C) -3 Joule
(D) None of these
A vector A points, vertically upward and, B points towards north. The vector product is -
1. along west
2. along east
3. zero
4. vertically downward
The linear velocity of a rotating body is given by , where is the angular velocity and r is the radius vector. The angular velocity of a body, and their radius vector is will be:
1.
2.
3.
4.
The displacement of a particle is given by \(y = a+bt+ct^2-dt^4\). The initial velocity and initial acceleration, respectively, are: \(\left(\text{Given:}~ v=\frac{dx}{dt}~\text{and}~a=\frac{d^2x}{dt^2}\right)\)
1. \(b, -4d\)
2. \(-d, 2c\)
3. \(b, 2c\)
4. \(2c, -4d\)