The 2-kg package leaves the conveyor belt at A with a speed of vA = 1 m>s and slides

Chapter 14, Problem F14-14

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QUESTION:

The 2-kg package leaves the conveyor belt at A with a speed of \(v_{A} = 1 \ m/s\) and slides down the smooth ramp. Determine the required speed of the conveyor belt at B so that the package can be delivered without slipping on the belt. Also, find the normal reaction the curved portion of the ramp exerts on the package at B if \(\rho_{B} = 2 \ m\).

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QUESTION:

The 2-kg package leaves the conveyor belt at A with a speed of \(v_{A} = 1 \ m/s\) and slides down the smooth ramp. Determine the required speed of the conveyor belt at B so that the package can be delivered without slipping on the belt. Also, find the normal reaction the curved portion of the ramp exerts on the package at B if \(\rho_{B} = 2 \ m\).

ANSWER:

Step 1 of 2

Using the conservation of the energy

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Let us assume the point as the reference point for the height.

 

 

Substitute,  ,  ,  ,  

 

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