The catapulting mechanism is used to propel the 10-kg slider A to the right along the smooth tra

Name: Problem 26, Chapter 14: Engineering Mechanics: Statics and Dynamics
Uploaded: 2024-04-02T10:26:39-08:00
Duration: 2 min 29 s
Channel: Narayan Hari

step 1 To solve this problem let us write the given data first. Given that the value of MA is equal to

Question

The catapulting mechanism is used to propel the $10-\mathrm{kg}$ slider $A$ to the right along the smooth track. The propelling action is obtained by drawing the pulley attached to rod $B C$ rapidly to the left by means of a piston $P .$ If the piston applies a constant force $F=20 \mathrm{kN}$ to rod $B C$ such that it moves it $0.2 \mathrm{m},$ determine the speed attained by the slider if it was originally at rest. Neglect the mass of the pulleys, cable, piston, and rod $B C.$

   The catapulting mechanism is used to propel the $10-\mathrm{kg}$ slider $A$ to the right along the smooth track. The propelling action is obtained by drawing the pulley attached to rod $B C$ rapidly to the left by means of a piston $P .$ If the piston applies a constant force $F=20 \mathrm{kN}$ to rod $B C$ such that it moves it $0.2 \mathrm{m},$ determine the speed attained by the slider if it was originally at rest. Neglect the mass of the pulleys, cable, piston, and rod $B C.$

Engineering Mechanics: Statics and Dynamics

R. C. Hibbeler 14th Edition

Chapter 14, Problem 26

Instant Answer

Solved by Expert Narayan Hari

04/02/2024

Step 1

Since the track is smooth, the only force acting on the slider is the force applied by the catapulting mechanism. This force is equal to the force applied by the piston $P$, which is $F = 20 \, \mathrm{kN}$. Show more…

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The catapulting mechanism is used to propel the $10-\mathrm{kg}$ slider $A$ to the right along the smooth track. The propelling action is obtained by drawing the pulley attached to rod $B C$ rapidly to the left by means of a piston $P .$ If the piston applies a constant force $F=20 \mathrm{kN}$ to rod $B C$ such that it moves it $0.2 \mathrm{m},$ determine the speed attained by the slider if it was originally at rest. Neglect the mass of the pulleys, cable, piston, and rod $B C.$

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Key Concepts

Work

Work is defined as the product of a force and the displacement in the direction of that force. In problems like this, where a constant force is applied over a specific distance, the work done is calculated by multiplying the force and the displacement. This concept is crucial in understanding how mechanical energy is added to a system.

Work?Energy Principle

The work-energy principle states that the net work done on an object is equal to the change in its kinetic energy. This principle allows us to determine the final velocity of an object by equating the work done on it to the increase in its kinetic energy, especially when the object starts from rest.

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion, expressed by the formula (1/2)mv². In this type of problem, calculating the kinetic energy helps in understanding how the work provided by the applied force has been converted into the motion of the object.

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