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

K, Ask okokopkpk#Minimum 100 words accepted#

Ask okokopkpk#Minimum 100 words accepted#

Clutch free play adjustment of motorcycle, Clutch Free Play Adjustment : A...

Clutch Free Play Adjustment : A smooth operation of clutch ensures the smooth running of motorcycle; hence it is essential to maintain a proper clutch free play. STEPS

What are objectives of the footings, What are objectives of the footings? ...

What are objectives of the footings? Objectives of the footings: After studying this unit, you should be able to: a. Know different types of footings and the situation wh

What are the approaches to the design of retaining walls, What are the appr...

What are the approaches to the design of retaining walls? The approach to the design of retaining walls can be started as follows: a. Chosse a trial dimension of the wall

Evaluate the support required by body on plane, Evaluate the Support requir...

Evaluate the Support required by body on plane: A body having weight 50KN rests in limiting equilibrium on rough plane, whose slope is 30º. The plane is raised to a slope of

Illustrate the specification of pddi, Illustrate the specification of PDDI ...

Illustrate the specification of PDDI (i)  The 3-D geometry of the product which is defined by a set of curves, surfaces and volumes. (ii) The topology which describes the se

Prove the parallelogram law of forces - mechanics, Prove the parallelogram ...

Prove the parallelogram law of forces: Assume that the two forces P and Q act at a point ' O ' as shown in figure given below. The force P can be represented in magnitud

Basic s.i. units and its derived unit - mechanics, Basic S.I. Units and its...

Basic S.I. Units and its derived unit: S.I. stands for "System International Units". There are three quantities in the Standard International Systems as concerned to Mechanics

Heat transfer, Write down the expressions for the physical laws that govern...

Write down the expressions for the physical laws that govern each mode of heat transfer, and identify the variables involved in each relation.

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