Chapter 9 – Rotation
Consider the moment of inertia I of the rigid homogeneous disc of mass M as shown in the figure about an axis through its center (different shadings only differentiate the two parts of the disc each with equal mass M/2 ). Which one of the following statements concerning I is correct?
26
Nov
Consider the moment of inertia I of the rigid homogeneous disc of mass M as shown in the figure about an axis through its center (different shadings only differentiate the two parts of the disc each with equal mass M/2 ). Which one of the following statements concerning I is correct? A uniform rod of [...]
A ring of mass m is rolling without slipping with linear velocity v on a horizontal surface. A rod of identical mass is fixed along one of its diameter. The total kinetic energy of the system is:
26
Nov
A ring of mass m is rolling without slipping with linear velocity v on a horizontal surface. A rod of identical mass is fixed along one of its diameter. The total kinetic energy of the system is: A ring of mass m is rolling without slipping with linear velocity v on a horizontal surface. A [...]
A uniform rod of mass 2M is bent into four adjacent semicircles each of radius r, all lying in the same plane. The moment of inertia of the bent rod about an axis through one end A and perpendicular to plane of rod is.
26
Nov
A uniform rod of mass 2M is bent into four adjacent semicircles each of radius r, all lying in the same plane. The moment of inertia of the bent rod about an axis through one end A and perpendicular to plane of rod is. A uniform rod of mass 2M is bent into four adjacent [...]
The moment of inertia of a dumb bell consisting of two identical uniform solid spheres of mass m and radius R each, joined by a thin metallic rod of equal mass m (separation between the centres of the spheres is 6R) is I about the axis AB. Its moment of inertia, about an axis making an angle of 45∘ with AB, is.
26
Nov
The moment of inertia of a dumb bell consisting of two identical uniform solid spheres of mass m and radius R each, joined by a thin metallic rod of equal mass m (separation between the centres of the spheres is 6R) is I about the axis AB. Its moment of inertia, about an axis making [...]
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about an axis making an angle of 45∘ with AB ,
is ,
joined by a thin metallic rod of equal mass m (separation between the centres of the spheres is 6R) is I about the axis AB. Its moment of inertia ,
The moment of inertia of a dumb bell consisting of two identical uniform solid spheres of mass m and radius R each ,
A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse P is applied at B, the time taken by the rod to turn through a right angle is
26
Nov
A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse P is applied at B, the time taken by the rod to turn through a right angle is A uniform rod AB of mass m and length l is at rest on a smooth horizontal [...]
AB and CD are two indentical rods each of length L and mass M joined to from a cross. the momentum of intertia of these two rods about a bisector (x)of the angel between the rods is
26
Nov
AB and CD are two indentical rods each of length L and mass M joined to from a cross. the momentum of intertia of these two rods about a bisector (x)of the angel between the rods is AB and CD are two indentical rods each of length L and mass M joined to from a [...]
A weightless rod of length 2l carries two equal masses ‘m’, one tied at lower end A and the other at the middle of the rod at B The rod can rotate in vertical plane about a fixed horizontal axis passing through C . The rod of is released from rest in horizontal position The speed of the mass B at the instant rod become vertical is:
26
Nov
A weightless rod of length 2l carries two equal masses ‘m’, one tied at lower end A and the other at the middle of the rod at B The rod can rotate in vertical plane about a fixed horizontal axis passing through C . The rod of is released from rest in horizontal position The [...]
A solid sphere and a solid cylinder of same mass are rolled down on two inclined planes of heights h1 and h2 respectively. If at the bottom of the plane the two objects have same linear velocities, then the ratio of h1:h2
26
Nov
A solid sphere and a solid cylinder of same mass are rolled down on two inclined planes of heights h1 and h2 respectively. If at the bottom of the plane the two objects have same linear velocities, then the ratio of h1:h2 A solid sphere and a solid cylinder of same mass are rolled down [...]
A solid uniform sphere rotating about its axis with kinetic energy E1 is gently placed on a rough horizontal plane at time t=0, Assume that, at time t=t1, it starts pure rolling and at that instant total KE of the sphere is E2. After sometime, at time t=t2. KE of the sphere is E3.then
26
Nov
A solid uniform sphere rotating about its axis with kinetic energy E1 is gently placed on a rough horizontal plane at time t=0, Assume that, at time t=t1, it starts pure rolling and at that instant total KE of the sphere is E2. After sometime, at time t=t2. KE of the sphere is E3.then A [...]
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)
26
Nov
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 [...]