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A block with mass (M) is connected by a ...

A block with mass (M) is connected by a massless spring with stiffness constant (k) to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position (x_0). Consider two cases : (i) when the block is at (x_0) , and (ii) when the block is at `x = x_0 + A`. In both the cases, a particle with mass m(lt M) is softly placed on the block after which they strick to each other. Which of the following statement (s) is (are) true about the motion after the mass (m) is placed on the mass (M) ?

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A 100 g block is connected to a horizontal massless spring of force constant 25.6(N)/(m) As shown in Fig. the block is free to oscillate on a horizontal frictionless surface. The block is displaced 3 cm from the equilibrium position and , at t=0 , it is released from rest at x=0 It executes simple harmonic motion with the postive x-direction indecated in Fig. The position time (x-t) graph of motion of the block is as shown in Fig. Q. When the block is at position B on the graph its.

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