Chapter 11 – Rotational Motion
A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and fixed and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be.
23
Oct
A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and fixed and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the [...]
A uniform rod of length L is placed with one end in contact with the horizontal and is then inclined at an angle α to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be
23
Oct
A uniform rod of length L is placed with one end in contact with the horizontal and is then inclined at an angle α to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be If a ladder weighing 250 N is placed against a [...]
A block of base 10cm×10cm and height 15cm is kept on an inclined plane. The coefficient of friction between them is 3–√. The inclination θ of this inclined plane from the horizontal plane is gradually increased from 0∘. Then
23
Oct
A block of base 10cm×10cm and height 15cm is kept on an inclined plane. The coefficient of friction between them is 3–√. The inclination θ of this inclined plane from the horizontal plane is gradually increased from 0∘. Then If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of [...]
A rectangular block has a square base measuring a × a and its height is h. It moves on a horizontal surface in a direction perpendicular to one of the edges. The coefficient of friction is μ. It will topple if
23
Oct
A rectangular block has a square base measuring a × a and its height is h. It moves on a horizontal surface in a direction perpendicular to one of the edges. The coefficient of friction is μ. It will topple if If a ladder weighing 250 N is placed against a smooth vertical wall having [...]
A cyclist moves around a circular path of radius 40 3–√m with a speed of 20m/s. He must lean inwards at an angle θ with the vertical such that tanθ is equal to
23
Oct
A cyclist moves around a circular path of radius 40 3–√m with a speed of 20m/s. He must lean inwards at an angle θ with the vertical such that tanθ is equal to A cyclist moves around a circular path of radius 40 3–√m with a speed of 20m/s. He must lean inwards at an [...]
A ladder rests against a frictionless vertical wall, with its upper end 6m above the ground and the lower end 4m away from the wall. The weight of the ladder is 500N and its CG at 1/3rd distance from the lower end. Wall’s reaction will be (in newton)
23
Oct
A ladder rests against a frictionless vertical wall, with its upper end 6m above the ground and the lower end 4m away from the wall. The weight of the ladder is 500N and its CG at 1/3rd distance from the lower end. Wall’s reaction will be (in newton) A ladder rests against a frictionless vertical [...]
If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction 0.3, then what is the maximum force of friction available at the point of contact between the ladder and the floor?
23
Oct
If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction 0.3, then what is the maximum force of friction available at the point of contact between the ladder and the floor? If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction [...]
A uniform horizontal meter scale of mass m is suspended by two vertical strings attached to its two ends. A block of mass 3m is placed on the 60cm mark. The tensions in the two strings are in the ratio
23
Oct
A uniform horizontal meter scale of mass m is suspended by two vertical strings attached to its two ends. A block of mass 3m is placed on the 60cm mark. The tensions in the two strings are in the ratio The angle turned by a body undergoing circular motion depends on time as θ=θ0+θ1t+θ2r^2. Then [...]
Two men p and q are carrying a uniform rod of length l on their shoulders the rod is held horizontally such that p get one-third load. If P is at one end of the rod the distance of Q from that end is
23
Oct
Two men p and q are carrying a uniform rod of length l on their shoulders the rod is held horizontally such that p get one-third load. If P is at one end of the rod the distance of Q from that end is Two men p and q are carrying a uniform rod of [...]
A circular disc A of radius r is made from an iron plate of thickness t and another circular disc B of radius 4r is made from an iron plate of thickness t/4. Equal torques act on the discs A and B, initially both being at rest. At a later instant, the linear speeds of a point on the rim of A and another point on the rim of B are vA and vB, respectively. We have
23
Oct
A circular disc A of radius r is made from an iron plate of thickness t and another circular disc B of radius 4r is made from an iron plate of thickness t/4. Equal torques act on the discs A and B, initially both being at rest. At a later instant, the linear speeds of [...]
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A circular disc A of radius r is made from an iron plate of thickness t and another circular disc B of radius 4r is made from an iron plate of thickness t/4. Equal torques act on the discs A and B ,
initially both being at rest. At a later instant ,
respectively. We have ,
the linear speeds of a point on the rim of A and another point on the rim of B are vA and vB ,