The block has a mass of 0.8 kg and moves within the smooth vertical slot. If it starts

Chapter 14, Problem 14-32

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The block has a mass of 0.8 kg and moves within the smooth vertical slot. If it starts from rest when the attached spring is in the unstretched position at A, determine the constant vertical force F which must be applied to the cord so that the block attains a speed \(v_{B} = 2.5 \ m/s\) when it reaches B; \(s_{B} = 0.15 \ m\). Neglect the size and mass of the pulley. Hint: The work of F can be determined by finding the difference \(\Delta l\) in cord lengths AC and BC and using \(U_{F} = F \ \Delta l\).

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