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

Pressure and temperature in unfired pressure vessels, Q. Pressure and Tempe...

Q. Pressure and Temperature in Unfired pressure vessels? The design pressures and coincident maximum and minimum metal temperature, shall be determined by carefully considering

Thermodynamics, Problem specification 5 kg of air is contained in a piston-...

Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a specific volume of 0.08m3/kg. The air then expands, as an ideal ga

Spot welding-resistance welding processes, SPOT WELDING In this type of...

SPOT WELDING In this type of welding, after proper cleaning of the surfaces, the metals to be welded are kept one above the other and two copper electrodes are kept on both sid

What are the uses of windmill, Windmills were traditionally used for proces...

Windmills were traditionally used for processing grains, later they started to be used for electricity production as well. Windmills can also be used to pump water.

Entropy, What is entropy microscopically

What is entropy microscopically

Deteremine the birth of iges, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Steps of inspection of electrical equipment, Inspection of Electrical Equip...

Inspection of Electrical Equipment STEPS All electrical equipment are checked for proper functioning. The starting and lighting of the motorcycle should be prope

Frames, Introduction and conclusion on frames

Introduction and conclusion on frames

Design temporary storage, Q. Design Temporary Storage? It is sometimes ...

Q. Design Temporary Storage? It is sometimes acceptable to store drums temporarily on spill containment pallets. Each pallet should be capable of capturing the contents of at l

Find out force on each member - truss, Find out force on each member - Trus...

Find out force on each member - Truss: A truss is as shown in the figure given below. Find out force on each member and the nature of it.  Sol.: First we calculate sup

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