Evaluate the motion of system, Mechanical Engineering

Assignment Help:

Evaluate the motion of system:

Q : Block A and B are connected by a rigid horizontally bar planed at each end are placed on the inclined planes as shown in the figure given below. The weight of block B is 300N. Find the limiting values of weight of the block A to just start motion of system.

 

887_Evaluate the motion of system.png

Sol.: Let Wa be weight of block A. Consider free body diagram of B. As shown in the figure. And Assume that AB  be the Axis of reference.

∑V = 0;

Rsin45° - µBRcos45° - 300 = 0

On solving,                                R = 606.09N           ...(i)

∑H = 0;

C - RCos45° - µBRsin45° = 0                        ...(ii)

Putting value of R, we get

C = 557.14N           ...(iii)

Where C is reaction imparted by rod.

Consider free body diagram of block A as shown in the figure

1084_Evaluate the motion of system1.png

Figure

C + µARcos60° - Rcos30° = 0                                                                      ...(iv)

By putting all the values we get

R = 751.85N                                                                                                  ...(v)

∑V = 0;

µ ARsin60° + Rsin60° - W = 0

By solving,

W = 538.7N

 

...(vi)

Thus weight of block

A = 538.7N

.......ANS

 

 


Related Discussions:- Evaluate the motion of system

Draw the gas welding system, Draw the Gas welding System and label its part...

Draw the Gas welding System and label its parts. Illustrate the several types of flames used in gas welding along with temperature range.

MATERIAL SCIENCE, IF ONE SOLID PHASE SPLITS INTO TWO SOLID PHASES ON HEATIN...

IF ONE SOLID PHASE SPLITS INTO TWO SOLID PHASES ON HEATING THE REACTION IS CALLED

Explain the importance of value engineering, Explain the Importance of Valu...

Explain the Importance of Value engineering Improve your career skills Separate "Symptoms" from "problems" Solve "root cause" problems and capture opportunities

Torque transmission-various factors in clutch design , Torque Transmission ...

Torque Transmission : The clutch should be able to transmit the maximum torque of the engine under all conditions. It is usually designed to transmit 125 to 150 percent of the max

Work - thermodynamics, Work - thermodynamics: The work can be defined ...

Work - thermodynamics: The work can be defined as follows: "Work is defined as energy transferred across the boundary of a system due to an intensive property difference ot

What do you mean by heat transfer, What do you mean by Heat Transfer ? Comp...

What do you mean by Heat Transfer ? Compare (i) Work done with Heat Transfer (ii) Thermodynamics with Heat Transfer. State whether Heat Transfer is a path function or state functio

Evaluate the exit velocity, A perfect gas flows through a nozzle when it ex...

A perfect gas flows through a nozzle when it expends in a reversible adiabatic manner, the inlet conditions are 22 bar,, 500 o c, 38 m/s. At exit the pressure is 2 bar. Evaluate th

Determine sliding velocity, a) A pair of 20 degree full depth involute spur...

a) A pair of 20 degree full depth involute spur gears having 30 and 50 teeth respectively of module 4mm are in mesh. The smaller gear rotates at 1000 rpm. Determine- 1) Contact

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd