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

Vitrification-manufacturing methods of ceramics, Vitrification This is...

Vitrification This is liquid phase sintering. It is achieved via incorporating a component that melts to viscous liquid during sintering. Such viscous liquid solidifies in gla

Determine minimum von mises stress, In this assignment you will apply what ...

In this assignment you will apply what you have learned in previous training. Consider the part in figure, which constructed from a solid tube. The bracket is supported at surface

Spring, strain energy = m2l/2Ei

strain energy = m2l/2Ei

Evaluate natural frequency of damped vibrations, What are various types of ...

What are various types of damping ? Explain viscous damping. A vibrating system is defined by the following parameters : m = 4Kg, K = 10N/m, C =3N-Sec/m Evaluate (a) Na

Theory of machine, write short note on''coefficient of insensitiveness''of ...

write short note on''coefficient of insensitiveness''of governors.

Obtain the closed loop transfer function, Question: The block diagram o...

Question: The block diagram of a dc servo motor feed drive is shown   Obtain the closed loop transfer function relating the output to the disturbance T L while V

How is rending stress designed in plain concrete footing, How is rending st...

How is rending stress designed in plain concrete footing? Rending Stresses Also design the plain concrete footing based on bending moment and shear considerations. In wall f

Circulation pumps, Are the types of pumps selected (base mounted, in-line)?...

Are the types of pumps selected (base mounted, in-line)? Locate pump on discharge side of boiler. Flexible connector used. Valving indicated, isolation valve on suction and dis

Polygon of forces lab, please explain more about polygon of forces lab such...

please explain more about polygon of forces lab such as observation, theory and others.

Wire-frame entities-representing ellipse and parabolas, wire-frame entities...

wire-frame entities-representing ellipse and parabolas

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