Instantaneous Axis of Rotation
Trending Questions
Q. A solid sphere is rolling purely on a horizontal surface. The angular velocity of sphere about its central axis is 2 rads and it has m = 4 kg and R = 2m. What is the total kinetic energy of the sphere?
- 1485J
- 1245J
- 100 J
- 25 J
Q. A solid sphere of mass 5 kg and radius 10 m is rolling purely on a horizontal surface as shown in the figure. The separation of P from A (point of contact) is 7 m. If the sphere has an angular velocity about an axis through its centre of mass as 2 radsec, what is the speed of the point P at this instant ?


- 20 m/s
- 32 m/s
- 14 m/s
- 18 m/s
Q. A sphere is rolling purely on a horizontal surface. What is the velocity of its instantaneous axis of rotation with respect to the ground if its centre of mass moves with a velocity of 10 m/s in the forward direction ?(Radius = 10 m)
- 1 m/s
- 100 m/s
- 5 m/s
- 0 m/s
Q. A ball rolls down an incline. The instantaneous axis of rotaion of any point on the ball passes through the point in contact with the incline.
- True
- False
Q. End A of a rod AB is being pulled on the floor with a constant velocity v0 as shown. Taking the length of the rod as l, at an instant when the rod makes an angle 37∘ with the horizontal, calculate

The velocity of end B

The velocity of end B
- 35v0
- 43v0
- 53v0
- 54v0
Q. End A of a rod AB is being pulled on the floor with a constant velocity v0 as shown. Taking the length of the rod as l, at an instant when the rod makes an angle 37∘ with the horizontal, calculate

The angular velocity of the rod

The angular velocity of the rod
- 5v03l
- 3v05l
- 5v04l
- 4v05l
Q. End A of a rod AB is being pulled on the floor with a constant velocity v0 as shown. Taking the length of the rod as l, at an instant when the rod makes an angle 37∘ with the horizontal, calculate

The velocity of the CM of the rod

The velocity of the CM of the rod
- 57v0 at tan−143 below horizontal
- 57v0 at tan−134 below horizontal
- 56v0 at tan−134 below horizontal
- 45v0 at tan−134 below horizontal
Q. A disc of radius 0.2 m is rolling with slipping on a flat horizontal surface as shown in the figure. The instantaneous centre of rotation is (the lowest contact point is O and centre of disc is C)


- zero
- 0.1 m above O on line OC
- 0.2 m below O on line OC
- 0.2 m above O on line OC
Q. Two blocks are moving as shown. The ratio ofv1v2 is


- sinθ1sinθ2
- sinθ2sinθ1
- cosθ2cosθ1
- cosθ1cosθ2
Q. A uniform plank leans against a cylindrical body as shown in figure. The right end of plank slides at a constant speed of v = 2m/s. If R = 1m, then angular velocity of the plank when θ=37∘ is (Write upto two digits after the decimal point.)

