Small objects are released from rest at A and slide down the smooth circular surface of radius R to a conveyor B. Determine the expression for the normal contact force N between the guide and each object in terms of θ and specify the correct angular velocity w (or called θ') of the conveyor pulley of radius r to prevent any sliding on the belt as the objects transfer to the conveyor. The image describes a mechanical setup involving a curved ramp and a conveyor system. Here's a detailed explanation:1. **Ramp Structure**: - The ramp is shown as a quadrant of a circle, with the center labeled as \( A \). - The curve has a radius marked as \( R \). - An angle \( \theta \) is indicated, showing the inclination from the horizontal plane. - A block is positioned on the ramp, demonstrating the motion path along the curve.2. **Conveyor System**: - At the bottom of the ramp, point \( B \) signifies the transition from the ramp to a conveyor belt. - The conveyor is depicted as a straight path immediately following point \( B \). - Below the conveyor belt, there is a circular pulley with a radius \( r \), and it is rotating with an angular velocity \( \omega \). The direction of rotation is marked by a green arrow.This setup demonstrates the transition of an object moving down a curved ramp onto a conveyor system, a common scenario in physics to analyze motion and forces.

Now we have the equation Considering equilibrium condition for normal force∑Fn=man N-mgsinθ=mv2R…

Answered: Small objects are released from rest at…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Small objects are released from rest at A and slide down the smooth circular surface of radius R to a conveyor B. Determine the expression for the normal contact force N between the guide and each object in terms of θ and specify the correct angular velocity w (or called θ') of the conveyor pulley of radius r to prevent any sliding on the belt as the objects transfer to the conveyor.

The image describes a mechanical setup involving a curved ramp and a conveyor system. Here's a detailed explanation:

1. **Ramp Structure**:
- The ramp is shown as a quadrant of a circle, with the center labeled as \( A \).
- The curve has a radius marked as \( R \).
- An angle \( \theta \) is indicated, showing the inclination from the horizontal plane.
- A block is positioned on the ramp, demonstrating the motion path along the curve.

2. **Conveyor System**:
- At the bottom of the ramp, point \( B \) signifies the transition from the ramp to a conveyor belt.
- The conveyor is depicted as a straight path immediately following point \( B \).
- Below the conveyor belt, there is a circular pulley with a radius \( r \), and it is rotating with an angular velocity \( \omega \). The direction of rotation is marked by a green arrow.

This setup demonstrates the transition of an object moving down a curved ramp onto a conveyor system, a common scenario in physics to analyze motion and forces.

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