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

Classification of system - thermodynamics, Classification of system - Therm...

Classification of system - Thermodynamics: (1) Kitchen refrigerator, (2) Ceiling fan (3) Thermometer in mouth (4) Air compressor (5) Pressure Cooker (6) Carburetor (7) R

Key words related to railway line, Keywords related to railway line: ...

Keywords related to railway line: Railway Station : A facility along a railway line where trains stop and passengers are serviced, and cargo is handled. Platform : A fa

Working of impulse turbine, Working of Impulse turbine: The technique ...

Working of Impulse turbine: The technique in which multiple system of rotors are keyed to a common shaft, in series and the steam pressure of jet velocity is absorbed in stage

Determine the reactions at the points of supports, Two identical rollers, e...

Two identical rollers, each of weight W= 1000N are placed by an inclined plane and a vertical wall as shown below. Determine the reactions at the points of supports A, B, and C. Su

What is issued for approval, Q. What is Issued for Approval? This initi...

Q. What is Issued for Approval? This initial formal issue of the P&IDs to the Customer incorporates the process development agreed to in the approved IFD level PFDs. In additi

Vectors, Resolving vectors into I j k component

Resolving vectors into I j k component

Determine the fluctuation in rail pressure under one wheel, An inside cylin...

An inside cylinder locomotive has its cylinder centre lines 0.70m apart and has a stroke of 0.60m. Rotating mass per cylinder = 150kg Distance between wheel Centre lines = 1.

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