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

Aggregate production planning, Aggregate Production Planning: This uni...

Aggregate Production Planning: This unit provides the definition and physical significance of aggregate production planning. Further, this is illustrated that how the internal

Find out the centroid of the shaded area, Find out the centroid of the shad...

Find out the centroid of the shaded area: Find out the centroid of the shaded area illustrated in Figure (a). Solution The shaded area A may be considered as the

Tyres of motorcycle, Tyre: Different bikes respond differently to differen...

Tyre: Different bikes respond differently to different tyres, so it is impossible to make a generic recommendation. It mainly consists of outer cover and inside tube. The tyre tub

Evaluate elongation of wire, Evaluate Elongation of wire: An aerial c...

Evaluate Elongation of wire: An aerial copper wire ( E =1 x 10 5 N/m m 2 ) 40 m long is having cross sectional area of 80 mm 2 and weighs 0.6 N per meter run. I

Resultant of non-coplanar force system, Resultant of Non-coplanar Force Sys...

Resultant of Non-coplanar Force System: The resultant of a system of coplanar forces can be attained by adding up two forces through law of parallelogram at a time and after t

Isothermal transformation, Isothermal Transformation: Austenite is no...

Isothermal Transformation: Austenite is not normally converted in martensite instantly but the procedure continues for some time. Various steels take various time for full tr

Thermal engineering, Air enters the compressor of an ideal air standard Bra...

Air enters the compressor of an ideal air standard Brayton cycle at 100kPa, 250C with a volumetric flow rate of 8m3/s and is compressed to 1000kPa. The temperature at the inlet to

Types of brake , Types of Brake The brakes used in motorcycles can be ...

Types of Brake The brakes used in motorcycles can be classified as follows: (a) Drum Brake (b) Disc Brake

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