Engineering

Mechanical EngineeringInternational Edition---engineering Mechanics: Statics, 4th EditionThe 200-lb homogenous cylinder of radius R is pushed up the incline by a cart. Determine the smallest force P that the cart must apply to the cylinder in order to initiate motion. The coefficients of static friction are 0.3 at A and 0.12 at B . Neglect the weight of the cart.BuyFind*arrow_forward*

4th Edition

Andrew Pytel And Jaan Kiusalaas

Publisher: CENGAGE L

ISBN: 9781305501607

Chapter 7, Problem 7.9P

Textbook Problem

The 200-lb homogenous cylinder of radius *R* is pushed up the incline by a cart. Determine the smallest force *P* that the cart must apply to the cylinder in order to initiate motion. The coefficients of static friction are 0.3 at *A* and 0.12 at *B*. Neglect the weight of the cart.

Expert Solution

To determine

Smallest force 'P' that cart must apply to the cylinder.

**Given information:**

The weight of the cylinder is 200lb.

Co-efficient of static friction are 0.3 at point A and 0.12 at point B.

For impending sliding, the friction force equals its limiting value.

Steps to follow in the equilibrium analysis of a body are:

1. Draw the free body diagram.

2. Write the equilibrium equations.

3. Solve the equations for the unknowns.

**Calculation:**

FBD of entire system

Assume sliding at point B.

Assume

Write equilibrium equation in x direction.

Write equilibrium equation in y direction.

For the equilibrium of above section, the bending moment about point O is equal to zero.

Solve above equations simultaneously.

International Edition---engineering Mechanics: Statics, 4th Edition

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