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General
Easy
Question
In the following problems, indicate the correct direction of friction force acting on the cylinder, which is pulled on a rough surface by a constant force F A cylinder of mass M and radius R is pulled horizontally by a force F. The friction force can be given by which of the following diagrams
- cannot be interpreted
The correct answer is:
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A ball rolls down an inclined plane, figure. The ball is first released from rest from P and then later from Q. Which of the following statement is/ are correct?
i) The ball takes twice as much time to roll from Q to O as it does to roll from P to O.
ii) The acceleration of the ball at Q is twice as large as the acceleration at P.
iii) The ball has twice as much K.E. at O when rolling from Q as it does when rolling from P.
A ball rolls down an inclined plane, figure. The ball is first released from rest from P and then later from Q. Which of the following statement is/ are correct?
i) The ball takes twice as much time to roll from Q to O as it does to roll from P to O.
ii) The acceleration of the ball at Q is twice as large as the acceleration at P.
iii) The ball has twice as much K.E. at O when rolling from Q as it does when rolling from P.
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A uniform circular disc placed on a rough horizontal surface has initially a velocity v0 and an angular velocity w0 as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then 
is
A uniform circular disc placed on a rough horizontal surface has initially a velocity v0 and an angular velocity w0 as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then is
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A body kept on a smooth horizontal surface is pulled by a constant horizontal force applied at the top point of the body. If the body rolls purely on the surface, its shape can be :
A body kept on a smooth horizontal surface is pulled by a constant horizontal force applied at the top point of the body. If the body rolls purely on the surface, its shape can be :
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A sphere of mass M and radius R is attached by a light rod of length l to a point P. The sphere rolls without slipping on a circular track as shown. It is released from the horizontal position. the angular momentum of the system about P when the rod becomes vertical is :
A sphere of mass M and radius R is attached by a light rod of length l to a point P. The sphere rolls without slipping on a circular track as shown. It is released from the horizontal position. the angular momentum of the system about P when the rod becomes vertical is :
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A uniform sphere of radius R is placed on a rough horizontal surface and given a linear velocity v0 angular velocity 
as shown. The sphere comes to rest after moving some distance to the right. It follows that:
A uniform sphere of radius R is placed on a rough horizontal surface and given a linear velocity v0 angular velocity as shown. The sphere comes to rest after moving some distance to the right. It follows that:
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A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed v0. The kinetic energy of the system is: (Slipping is absent)
A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed v0. The kinetic energy of the system is: (Slipping is absent)
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A time varying force F = 2t is applied on a spool rolling as shown in figure. The angular momentum of the spool at time t about bottommost point is:
A time varying force F = 2t is applied on a spool rolling as shown in figure. The angular momentum of the spool at time t about bottommost point is:
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A plank with a uniform sphere placed on it rests on a smooth horizontal plane. Plank is pulled to right by a constant force F. If sphere does not slip over the plank. Which of the following is incorrect.
A plank with a uniform sphere placed on it rests on a smooth horizontal plane. Plank is pulled to right by a constant force F. If sphere does not slip over the plank. Which of the following is incorrect.
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A plank of mass M is placed over smooth inclined plane and a sphere is also placed over the plank. Friction is sufficient between sphere and plank. If plank and sphere are released from rest, the frictional force on sphere is:
A plank of mass M is placed over smooth inclined plane and a sphere is also placed over the plank. Friction is sufficient between sphere and plank. If plank and sphere are released from rest, the frictional force on sphere is:
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Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is :
Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is :
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Inner and outer radii of a spool are r and R respectively. A thread is wound over its inner surface and placed over a rough horizontal surface. Thread is pulled by a force F as shown in fig. then in case of pure rolling
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A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is
A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is
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Two points of a rigid body are moving as shown. The angular velocity of the body is:
Two points of a rigid body are moving as shown. The angular velocity of the body is:
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A wheel of radius r rolling on a straight line, the velocity of its centre being v. At a certain instant the point of contact of the wheel with the grounds is M and N is the highest point on the wheel (diametrically opposite to M). The incorrect statement is:
A wheel of radius r rolling on a straight line, the velocity of its centre being v. At a certain instant the point of contact of the wheel with the grounds is M and N is the highest point on the wheel (diametrically opposite to M). The incorrect statement is:
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A hinged construction consists of three rhombs with the ratio of sides 5:3:2. Vertex A3 moves in the horizontal direction at a velocity v. Velocity of A2 is
A hinged construction consists of three rhombs with the ratio of sides 5:3:2. Vertex A3 moves in the horizontal direction at a velocity v. Velocity of A2 is
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