Evaluate the motion of system, Mechanical Engineering

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

 

 

Posted Date: 10/18/2012 2:20:35 AM | Location : United States







Related Discussions:- Evaluate the motion of system, Assignment Help, Ask Question on Evaluate the motion of system, Get Answer, Expert's Help, Evaluate the motion of system Discussions

Write discussion on Evaluate the motion of system
Your posts are moderated
Related Questions
Consider the rocket on a test stand as described in Chapter 3 of the lecture notes. The nose of the rocket is fixed. The rocket is of length L, constant EA and constant m, mass per

The first stage of design assumes: budget is approved, marketing research is complete, product can be made at a price below that which it can be sold, research and development is c


Develop an EES Code for a Rankine cycle with reheat and with 2 open feedwater heaters.  The cycle is shown below:  Use the following conditions: 1.  700 psi, 850F 2.  500

Explain how chips are prepared in cutting and how are they classified with sketches. What are the factors responsible for creation of different forms of chips?

Derive the relation for a fin insulated at the tip and the heat dissipation?

degrees of freedom of a planar mechanism

Q. What is Blow molding ? Blow molding has been used for making plastic bottles, toys, doll bodies and many other items. The blow molding commences with the extrusion of the t

Q. What is Injection moulding? An important industrial method of producing articles of thermoplastics is injection moulding. The moulding material is loaded into a hopper from

Lighting System :   The motorcycle lighting system consists of head light, turn indicators, brake lights and panel board lights. Figure shows a DC circuit of the electrical system