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A couple $\mathbf{M}$ of magnitude $100 \mathrm{N} \cdot \mathrm{m}$ is applied as shown to the crank of the engine system. Knowing that $A B=50 \mathrm{mm}$ and $B C=200 \mathrm{mm},$ determine the force $\mathbf{P}$ required to maintain the equilibrium of the system when $(a) \mathrm{u}=60^{\circ},(b) \mathrm{u}=120^{\circ}$.

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(a) $P=115.47 \mathrm{kN}$(b) $P=115.47 \mathrm{kN}$

Physics 101 Mechanics

Chapter 10

Method of Virtual Work

Work

Potential Energy

University of Washington

University of Sheffield

University of Winnipeg

McMaster University

Lectures

02:08

In physics, work is the transfer of energy by a force acting through a distance. The "work" of a force F on an object that it pushes is defined as the product of the force and the distance through which it moves the object. For example, if a force of 10 newtons (N) acts through a distance of 2 meters (m), then doing 10 joules (J) of work on that object requires exerting a force of 10 N for 2 m. Work is a scalar quantity, meaning that it can be described by a single number-for example, if a force of 3 newtons acts through a distance of 2 meters, then the work done is 6 joules. Work is due to a force acting on a point that is stationary-that is, a point where the force is applied does not move. By Newton's third law, the force of the reaction is equal and opposite to the force of the action, so the point where the force is applied does work on the person applying the force. In the example above, the force of the person pushing the block is 3 N. The force of the block on the person is also 3 N. The difference between the two forces is the work done on the block by the person, which can be calculated as the force of the block times the distance through which it moves, or 3 N × 2 m = 6 J.

03:23

In physics, mechanical energy is the sum of the kinetic and potential energies of a system.

04:43

A couple $M$ with a magnit…

10:12

A $4-\mathrm{kN}$ force $\…

08:23

The crankshaft is subjecte…

12:58

In the engine system shown…

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