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

Thermodynamics, microscopic and macroscopic view points

microscopic and macroscopic view points

Instantaneous stress formula, Ask quesinstantaneous stress formulation #Min...

Ask quesinstantaneous stress formulation #Minimum 100 words accepted#

Dynamics, A rectangular plate has two holes of dimensions shown and is rele...

A rectangular plate has two holes of dimensions shown and is released from the position shown. The plate is hinged about a horizontal axis and can rotate in the vertical plane. An

Evaluate the velocity ratio, (a) A geometrically similar model of spillway ...

(a) A geometrically similar model of spillway is to be laid to a scale of 1 in 50. Evaluate the velocity ratio, discharge ratio and acceleration ratio. (b) If model prototype ra

How can we use cereals, Q. How can we use Cereals? Foundry cereal is fi...

Q. How can we use Cereals? Foundry cereal is finely ground corn flour or corn starch. It (0.25-2%) increases the green and dry strengths of the moulding sand. Since the cereal

TIG welding, TUNGSTEN INERT GAS WELDING (TIG) In this process, an arc i...

TUNGSTEN INERT GAS WELDING (TIG) In this process, an arc is struck between a non consumable tungsten electrode and the base metal. The tungsten electrode is called non consumab

Determine the properties of foundation, Determine the Properties of founda...

Determine the Properties of foundation Soil profile together with natural type and properties of each strata will have a bearing on the choice of foundation. The fact that loa

Coagulation-flocculation-sedimentation, 2. Assume that the river has been s...

2. Assume that the river has been selected as the source of raw water for the 2.0mgd demand. a. Surface water has low alkalinity, high turbidity. The distribution system is cast

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