Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions)
A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Immediately after impact:
30
Sep
A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Immediately after impact: A thin uniform rod of mass m and length l is free to rotate about its [...]
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:
30
Sep
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: A solid sphere rolls without slipping on a rough horizontal floor [...]
A solid sphere rolls without slipping on a rough horizontal floor, moving with a speed v. It makes an elastic collision with a smooth vertical wall. After impact:
30
Sep
A solid sphere rolls without slipping on a rough horizontal floor, moving with a speed v. It makes an elastic collision with a smooth vertical wall. After impact: A solid sphere rolls without slipping on a rough horizontal floor moving with a speed v. It makes an elastic collision with a smooth vertical wall. After [...]
A disc of circumference of s is at rest at a point A on a horizontal surface when a constant horizontal force begins to act on its centre. Between A and B there is sufficient friction to prevent slipping and the surface is smooth to the right of B, AB=s. The disc moves from A to B in time T. To the right of B
30
Sep
A disc of circumference of s is at rest at a point A on a horizontal surface when a constant horizontal force begins to act on its centre. Between A and B there is sufficient friction to prevent slipping and the surface is smooth to the right of B, AB=s. The disc moves from A [...]
Two identical spheres A and B are free to move and to rotate about their centres. They are given the same impulse J. The lines of action of the impulses pass through the centre of A and away from the centre of B, then
30
Sep
Two identical spheres A and B are free to move and to rotate about their centres. They are given the same impulse J. The lines of action of the impulses pass through the centre of A and away from the centre of B, then A horizontal disc rotates freely about a vertical axis through its [...]
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.
30
Sep
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 [...]
Two horizontal disc of different radii are free to rotate about their central vertical axes. One is given some angular velocioty , the other is stationery. Their rims are now brought in contact. There is friction between the rims . Then
30
Sep
Two horizontal disc of different radii are free to rotate about their central vertical axes. One is given some angular velocioty , the other is stationery. Their rims are now brought in contact. There is friction between the rims . Then the other is stationery. Their rims are now brought in contact. There is friction [...]
A horizontal disc rotates freely about a vertical axis through its central. A ring, having the same mass and radius as the disk is now gently placed on disc. After some time, the two rotates with a common angular velocity.
30
Sep
A horizontal disc rotates freely about a vertical axis through its central. A ring, having the same mass and radius as the disk is now gently placed on disc. After some time, the two rotates with a common angular velocity. A horizontal disc rotates freely about a vertical axis through its central. A ring having [...]
A uniform disc rotating at a constant speed in a vertical plane about a fixed horizontal axis, passing through the centre of the disc. A piece of disc from its rim detaches itself from the dist at the instant when it is on the same horizontal with the centre of the disc and moving upwards. Then about the fixed axis, the angular speed of the
30
Sep
A uniform disc rotating at a constant speed in a vertical plane about a fixed horizontal axis, passing through the centre of the disc. A piece of disc from its rim detaches itself from the dist at the instant when it is on the same horizontal with the centre of the disc and moving upwards. [...]
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A uniform disc rotating at a constant speed in a vertical plane about a fixed horizontal axis ,
Average torque on a projectile of mass m initial speed u and angle of projection theta between initial and final positions P and Q as shown in the figure about the point of projection is ,
Consider three uniform solid spheres. sphere (i ) has radius r and mass m sphere (ii) has radius r and mass 3m ,
Three spools A, B and C each having moment of interia I = MR^2/4 are palced on rough ground and equal force F is applied at positions as shown in figs. (a), (b) and (c) . Then
30
Sep
Three spools A, B and C each having moment of interia I = MR^2/4 are palced on rough ground and equal force F is applied at positions as shown in figs. (a), (b) and (c) . Then (b) and (c) . Then B and C each having moment of interia I = MR^2/4 are palced [...]