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

Hydro turbine, in hydro turbine vaccum is present in casing or not? & if no...

in hydro turbine vaccum is present in casing or not? & if not then how suction is take place?

Explain about active fire protection, Q. Explain about Active Fire Protecti...

Q. Explain about Active Fire Protection? Active Fire Protection - A fire fighting system that is normally dormant and is activated automatically upon detection of a fire hazard

Impact testing, Charpy impact tests, when required shall comply. Impact ...

Charpy impact tests, when required shall comply. Impact tests shall be conducted at the minimum design metal temperature or at a lower temperature and shall meet or exceed energ

Explain the extensive properties of a system, Explain the Extensive Propert...

Explain the Extensive Properties of a System Extensive properties are those, which dependent on the mass of the system and do not maintain similar value for any part of the sys

Heat content , is it correct tosay tha the heat content of the system is 5 ...

is it correct tosay tha the heat content of the system is 5 kv.

Maintenance of railway line, Maintenance of Railway Line Importance...

Maintenance of Railway Line Importance of Maintenance The need for maintenance of railway lines arises out of the following considerations : (a) The track rests on

The parts and design of the pocket amp, The problem: - Deaf blind peop...

The problem: - Deaf blind people have a huge problem when crossing the streets. They always need assistance from a sighted person or a trained dog to cross the street. There i

Thermal Systems Analysis and Design, Create Visual Basic function ffactor(R...

Create Visual Basic function ffactor(Re, rr) that calculates the Darcy-Weisbach friction factor in a pipe or duct, where Re is the Reynolds No. and rr is the relative roughness, us

Design study, how to produce a design that meets the specification given: B...

how to produce a design that meets the specification given: Beam Dimensions W, H and T, where H=2W and T=W/20 • Bolt Size D1 • Side Plate thickness T2 and width W2 • Cradle Plat

Lami''s theorems, alternative theorems for lamis theorem

alternative theorems for lamis theorem

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