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

Concept of continuum - thermodynamics, Concept of continuum - thermodynamic...

Concept of continuum - thermodynamics: Sol: Even the simplification of matter into molecules, atoms, electrons, etc. is too complex a picture for many problems of thermodyna

Explain index jig, Explain Index Jig? 1. This type of jig, as the...

Explain Index Jig? 1. This type of jig, as the name suggests, incorporate a suitable indexing mechanism, by means of which the work piece can be indexed to required posit

Workshop disciplines for general safety, WORKSHOP DISCIPLINES Followin...

WORKSHOP DISCIPLINES Following discipline tips should be made a part of life to become a good technician. These will certainly help in creating safe, friendly and clean enviro

Find out the moment of inertia of an annular area, Find out the moment of i...

Find out the moment of inertia of an annular area: Find out the M. I. of an annular area among two circles where difference of radius is quite small, around any centroidal axi

Calculate pressure on each side of spherical ball , Calculate pressure on e...

Calculate pressure on each side of spherical ball : Heavy spherical ball of weight W rests in V shaped trough whose sides are inclined at the angles and to the horizontal

Process of a pneumatic proportional controller, Explain the process of a Pn...

Explain the process of a Pneumatic Proportional Controller and get its transfer function. What modification is needed to make it function as a proportional plus derivative controll

Determine the load on beam, Determine the load on beam: A rectangular ...

Determine the load on beam: A rectangular beam of width 200 mm and depth 300 mm is simply supported over a span of 5 m. determine the load that the beam may carry per metre le

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