Chapter 11 – Rotational Motion
A solid disc rolls clockwise without slipping over a horizontal path with a constant speed v, Then the magnitude of the velocities of points A,B and C with respect to a standing observer are respectively.
23
Oct
A solid disc rolls clockwise without slipping over a horizontal path with a constant speed v, Then the magnitude of the velocities of points A,B and C with respect to a standing observer are respectively. A solid disc rolls clockwise without slipping over a horizontal path with a constant speed v B and C with [...]
A constant external torque τ acts for a very brief period Δt on a rotating system having moment of inertia I. (i) The angular momentum of the system will change by τΔt (ii) The angular velocity of the system will change by (τΔt)/I. (iii) If the system was initially at rest, it will acquire rotational kinetic energy (τΔt)^2/2I. (iv) The kinetic energy of the system will change by (τΔt)^2I.
23
Oct
A constant external torque τ acts for a very brief period Δt on a rotating system having moment of inertia I. (i) The angular momentum of the system will change by τΔt (ii) The angular velocity of the system will change by (τΔt)/I. (iii) If the system was initially at rest, it will acquire rotational [...]
A thin rod of mass m and length 2L is made to rotate about an axis passing through its center and perpendicular to it. If its angular velocity changes from 0 to ω in time t, the torque acting on it is
23
Oct
A thin rod of mass m and length 2L is made to rotate about an axis passing through its center and perpendicular to it. If its angular velocity changes from 0 to ω in time t, the torque acting on it is A thin rod of mass m and length 2L is made to rotate [...]
Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends what would be it angular velocity?
23
Oct
Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends what would be it angular velocity? Consider a body consisting of two identical balls each of mass M [...]
A playground merry-go-round is at rest, pivoted about a frictionless axis. A child of mass m runs along a path tangential to the rim with speed v and jumps on to the merry-go-round. If R is the radius of the merry-go-round and I is its moment of inertia, then the angular velocity of the merry-go-round is
23
Oct
A playground merry-go-round is at rest, pivoted about a frictionless axis. A child of mass m runs along a path tangential to the rim with speed v and jumps on to the merry-go-round. If R is the radius of the merry-go-round and I is its moment of inertia, then the angular velocity of the merry-go-round [...]
A wheel rolls without slipping on a horizontal surface such that its velocity of center of mass is v. The velocity of a particle at the highest point of the rim is
23
Oct
A wheel rolls without slipping on a horizontal surface such that its velocity of center of mass is v. The velocity of a particle at the highest point of the rim is A wheel rolls without slipping on a horizontal surface such that its velocity of center of mass is v. The velocity of a [...]
A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits O is
23
Oct
A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits O is A cubical block of side a is moving with velocity V on a horizontal smooth plane as [...]
A stone of mass m tied to the end of a string, is whirled around in a horizontal circle. (Neglect the force due to gravity). The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then, the tension in the string is given by T=A r^n where A is a constant, r is the instantaneous radius of the circle and n is
23
Oct
A stone of mass m tied to the end of a string, is whirled around in a horizontal circle. (Neglect the force due to gravity). The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then, the tension in the string is given [...]
A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m. The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity ω. If the cockroach stops, the angular velocity of the disc will be:
23
Oct
A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m. The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity ω. If the cockroach stops, the angular velocity of the [...]
A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that moment of inertia of the system doubles. The kinetic energy of the system now is:
23
Oct
A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that moment of inertia of the system doubles. The kinetic energy of the system now is: A solid sphere is rotating about [...]