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AP Physics 1
2.8 Spring Forces
2.7 Kinetic and Static Friction
2.4 Newton’s First Law
2.3 Newton’s Third Law
IntermediateMCQMathematicalConceptual20.9k
A block of mass M sits on a horizontal surface. To its left, it is attached to a horizontal spring which is fixed to a vertical wall. To its right, it is attached to a string that goes over a pulley at the edge of the table. A mass m hangs vertically from the string. The spring is shown in a stretched state.
Experimental setup consisting of a block on a surface, a spring, and a hanging mass.
A block of mass \(M\) is placed on a rough horizontal table with coefficient of static friction \(\mu_s\). The block is connected to a vertical wall by a horizontal ideal spring with spring constant \(k\). On the opposite side, the block is connected to a light string that passes over a frictionless pulley to a hanging mass \(m\), as shown in the diagram. The spring is stretched a distance \(x\) from its equilibrium length. Which of the following expressions represents the maximum value of \(x\) for which the block of mass \(M\) will remain in equilibrium?

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