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The upper surface of block C is horizontal and its right part is inclined to the horizontal at angle 37. The mass of blocks A and B are m1 = 1.4 kg and m2 = 5.5 kg, respectively. respectively The upper surface of block C is horizontal and its right part is inclined to the [...]

A uniform bar of length 6 a and mass 8 m lies on a smooth horizontal table. Two point masses m and 2 m moving in the same horizontal plane with speed 2 v and v, respectively, strike the bar [as shown in the fig.] and stick to the bar after collision. Calculate A uniform [...]

Calculate the angular momentum in following situation. A disc is connected with a rod of mass m and length l. THe disc is free to rotate about its own axis. If whole system is rotating with omega1 j and disc also rotate about its own axis with omega 2 i then calculate L about origin. [...]

A circular disc of mass m and radius R is set into motion on a horizontal floor with a linear speed v in the forward direction and an angular speed ω= R v ​ in the clockwise direction as shown in Figure. Find the magnitude of the total angular momentum of the disc about the [...]

A particle of mass `m` is projected with a speed `u` at an angle `theta` to the horizontal at time `t = 0`. Find its angular momentum about the point of projection `O` at time `t`, vectorially. Assume the horizontal and vertical lines through `O` as `X` and `Y` axes, respectively. A particle of mass [...]

A uniform bar AB of mass m and a ball of the same mass are released from rest from the same horizontal position. The bar is hinged at end A. There is gravity downwards. What is the distance of the point from point B that has the same acceleration as the ball, immediately after release? [...]

A slender rod of mass m and length L is pivoted about a horizontal axis through one end and released from rest at an angle of 30∘ above the horizontal. The force exerted by the pivot on the rod at the instant when the rod passes through a horizontal position is a block of mass [...]

A cord is wrapped on a pulley (disk) of mass M and radius R as shown in figure. To one end of the cord, a block of mass M is connected as shown and to other end in (a) a force of 2Mg and in (b) a block of mass 2M. Let angular acceleration of [...]

Two trolleys A and B are moving with accelerations a and 2a, respectively, in the same direction. To an observer in trolley A, Find the magnitude of the pseudo force acting on a block of mass m on trolley B. Find the magnitude of the pseudo force acting on a block of mass m on [...]

The trajectory of a projectile in a vertical plane is y = ax – bx^2, where a, b are constants, and x and y are, respectively, the horizontal and vetical distances of the projectile from the point of projection. and x and y are b are constants respectively the horizontal and vetical distances of the [...]