What is the torque of a force newton acting at a point metre about the origin? (Given: )
1.
2.
3.
4.
Three non zero vectors satisfy the relation . Then can be parallel to:
(1)
(2)
(3)
(4)
The scalar product of two vectors is 8 and the magnitude of vector product is . The angle between them is:
(1)
(2)
(3)
(4)
Given: . Out of the three vectors and two are equal in magnitude. The magnitude of the third vector is times that of either of the two having equal magnitude. The angles between the vectors are:
(A) 90, 135, 135
(B) 30, 60, 90
(C) 45, 45, 90
(D) 45, 60, 90
Vector is of length 2 cm and is 60 above the x-axis in the first quadrant. Vector is of length 2 cm and 60 below the x-axis in the fourth quadrant. The sum + is a vector of magnitude -
(A) 2 along + y-axis
(B) 2 along + x-axis
(C) 1 along - x-axis
(D) 2 along - x-axis
Six forces, 9.81 N each, acting at a point are coplanar. If the angle between neighboring forces are equal, then the resultant is
(1) 0 N
(2) 9.81 N
(3) 29.81 N
(4) 39.81 N
Temperature of a body varies with time as , where is the temperature in Kelvin at , then the rate of change of temperature at is:
1. \(8~\text{K}\)
2. \(80~\text{K}\)
3. \(8~\text{K/sec}\)
4. \(80~\text{K/sec}\)
If the distance 's' travelled by a body in time 't' is given by then the acceleration equals
(1)
(2)
(3)
(4)
The velocity of a particle moving on the x-axis is given by where v is in m/s and x is in m. Find its acceleration in when passing through the point x=2m.
1. 0
2. 5
3. 11
4. 30
A particle moves in the XY plane and at time t is at the point whose coordinates are . Then at what instant of time, will its velocity and acceleration vectors be perpendicular to each other?
(1) 1/3 sec
(2) 2/3 sec
(3) 3/2 sec
(4) never