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

Magnitude of the load - hollow cast iron cylinder, Magnitude of the load - ...

Magnitude of the load - hollow cast iron cylinder: Q: A hollow cast iron cylinder 4 m long, 300 mm is the outer diameter, and thickness of metal 50 mm is subjected to central

Determine the relative error in the function, Determine the relative error ...

Determine the relative error in the function y = ax 1 m1 x 2 m2 ........x n mn If u = 4x 2 y 3 / Z 4 and error in x, y, z be 0.a, compute the relative maximum error in u ta

Estimate the machining time, Estimate the Machining Time A hollow work...

Estimate the Machining Time A hollow workpiece of 60 mm outside diameter and 150 mm length is held on a mandrel among centers and turned all over in 4 passes. If the approach

Explain the importance of value engineering, Explain the Importance of Valu...

Explain the Importance of Value engineering Improve your career skills Separate "Symptoms" from "problems" Solve "root cause" problems and capture opportunities

Thermodynamics, show that work is a path function and not a point funtion ?...

show that work is a path function and not a point funtion ?

Illustrate various kinds of control systems, Illustrate various kinds of co...

Illustrate various kinds of control systems. Illustrate several block diagram reduction rules with examples. Determine C/R by using block diagram reduction method.

Steam generator piping, Q. Steam Generator Piping? Control valves shall...

Q. Steam Generator Piping? Control valves shall be Fisher or Purchaser-approved equal. All valves shall be detailed by size, rating, make, model number, and materials Two

Ease of operation-factors in clutch design , Ease of Operation : For highe...

Ease of Operation : For higher power transmissions, the operation of disengaging the clutch must not be tiresome to the driver.

Surface chemistry and electrochemistry of membranes, explain surfacechemist...

explain surfacechemistry and electrochemistry of membranes?

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