The block has a mass of 0.5 kg and moves within the smooth vertical slot. If the block

Chapter 14, Problem R14-4

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QUESTION:

The block has a mass of 0.5 kg and moves within the smooth vertical slot. If the block 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 mass of the cord and pulley.

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QUESTION:

The block has a mass of 0.5 kg and moves within the smooth vertical slot. If the block 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 mass of the cord and pulley.

ANSWER:

Problem R14-4

The block has a mass of 0.5 kg and moves within the smooth vertical slot. If the block 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  when it reaches B; . Neglect the mass of the cord and pulley.

                                                        Step by Step Solution

Step 1 of 3

The mass of the block is .

The speed of the block when it reaches to B is .

The distance sB is .

The stiffness of the spring is .

The distance between point A and uppermost end of slot is .

The horizontal distance between C and uppermost end of slot is .

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