A block of mass m is attached, through an inextensible string and a massless spring of the spring constant k, to a bigger block by a rigid support as shown in the figure. The mass of the bigger block is M and all the contact surfaces are frictionless. The spring is initially at its natural length. If the system (block m) is released from rest, the maximum extension in the spring will b
Question
A block of mass m is attached, through an inextensible string and a massless spring of the spring constant k, to a bigger block by a rigid support as shown in the figure. The mass of the bigger block is M and all the contact surfaces are frictionless. The spring is initially at its natural length. If the system (block m) is released from rest, the maximum extension in the spring will b
Solution
It seems like there's a part of your question missing, as it ends abruptly. However, I can start explaining how to approach this problem.
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When the system is released, the smaller block will start to move due to the gravitational force acting on it. This force can be calculated using the equation F = m*g, where g is the acceleration due to gravity.
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As the block moves, it will stretch the spring. The force exerted by a spring is given by Hooke's law, F = k*x, where k is the spring constant and x is the displacement of the spring from its equilibrium position.
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The maximum extension of the spring will occur when the gravitational force on the block is balanced by the spring force. This means that mg = kx.
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Solving this equation for x gives x = m*g/k. This is the maximum extension of the spring.
Please provide the complete question or any additional information so I can give a more accurate answer.
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