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A mass m starting from A reaches B of a ...

A mass m starting from A reaches B of a frictionless track. On reaching B, it pushes the track with a force equal to x times its weight, then the applicable relation is

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An object of mass m is released from rest at a height h above the surface of a table. The object slides along the inside of the loop. The loop track consisting of a ramp and a circular loop of radius R shown in the figure. Assume that the track is frictionless. When the object is at the top of the circular track it pushes against the track with a force equal to three times its weight. What height was the object dropped from?

An object of mass m is released from rest at a height h above the surface of a table. The object slides along the inside of the loop. The loop track consisting of a ramp and a circular loop of radius R shown in the figure. Assume that the track is frictionless. When the object is at the top of the circular track it pushes against the track with a force equal to three times its weight. What height was the object dropped from?

An object of mass m is released from rest at a height h above the surface of a table. The object slides along the inside of the loop. The loop track consisting of a ramp and a circular loop of radius R shown in the figure. Assume that the track is frictionless. When the object is at the top of the circular track it pushes against the track with a force equal to three times its weight. What height was the object dropped from?

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A block of mass m starts from rest and slides down a frictionless semi-circular track from a height h as shown. When it reaches the lowest point of the track, it collides with a stationary piece of putty also having mass m. If the block and the putty stick together and continue to slide, the maximum height that the block-putty system could reach is

The block on the loop shown slides without friction. At what height from A it starts so that it passes against the track at B with a net upward force equal to its own weight? The radius of the loop is R.

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In the figure shown, a particle is released from the position A on a smooth track. When the particle reaches at B, then normal reaction on it by the track. When the particle reaches at B, then normal reaction on it by the track is