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

Physics, difference brtween parallel and unlike parallel forces

difference brtween parallel and unlike parallel forces

Risk Management in Construction Projects, What is the turnaround time for a...

What is the turnaround time for a 10-page assignment?

Project to generates a parent population of size, This project involves a t...

This project involves a test of the basic idea behind the bootstrap method. Essentially you will write a program that: 1. Generates a parent population of size 100,000 whose dis

How can we transfer data among cad system, How can we transfer data among C...

How can we transfer data among CAD system The three main reasons for transferring data among CAD systems (or CAE systems or agents etc.) are : (i)  To communicate with remot

What is pedestal and what are uses of pedestal, What is pedestal? What are ...

What is pedestal? What are uses of pedestal? PEDESTALS A pedestal is used to transfer the loads from the metal columns through the floor and soil to the footing when it is a

Define specific volume (v) of System, Define Specific Volume (v) It is ...

Define Specific Volume (v) It is illustrated as volume occupied by the unit mass of the system. Its unit is m 3 /kg. Certain volume is reciprocal of density. ν = v/m; m 3 /k

#flow rate in turbochargers, What is the amount of air is supplied to engin...

What is the amount of air is supplied to engine via turbochargers and how their sizes vary from engine to engine ?

Determine controllability matrix – open loop control system, An open-loop c...

An open-loop control system has the following state-space model: (a)  Determine the characteristic equation for the open-loop control system. (b)  Determine the characte

Elastomers, define elastomer.explain in details?

define elastomer.explain in details?

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