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This time period of a particle undergoing SHM is 16 s. It starts motion from the mean position. After 2 s, its velocity is 0.4 ms^−1. The amplitude is
23
Oct
This time period of a particle undergoing SHM is 16 s. It starts motion from the mean position. After 2 s, its velocity is 0.4 ms^−1. The amplitude is its velocity is 0.4 ms^−1. The amplitude is This time period of a particle undergoing SHM is 16 s. It starts motion from the mean position. [...]
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude ′ a ′ and time period ′ T ′. The speed of the pendulum at x = 2/a will be:
23
Oct
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude ′ a ′ and time period ′ T ′. The speed of the pendulum at x = 2/a will be: A simple pendulum performs simple harmonic motion about x = 0 with an amplitude ′ a ′ and time period ′ [...]
A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical by α. The thread with the ball is displaced by a small angle β away from the vertical and also away from the wall. If the ball is released, the period of oscillation of the pendulum when β>α will be
23
Oct
A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical by α. The thread with the ball is displaced by a small angle β away from the vertical and also away from the wall. If the ball is released, the period of [...]
A disc is rolling (without slipping) on a horizontal surface. C is its center and Q and P are two points equidistant from C. Let VP,VQ and VC be the magnitude of velocities of points P,Q and C respectively, then
23
Oct
A disc is rolling (without slipping) on a horizontal surface. C is its center and Q and P are two points equidistant from C. Let VP,VQ and VC be the magnitude of velocities of points P,Q and C respectively, then A disc is rolling (without slipping) on a horizontal surface. C is its center and [...]
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 [...]