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

Calculate the machining time and the material removal rate, Calculate the M...

Calculate the Machining Time and the Material Removal Rate A through hole of 40 mm diameter and 50 mm depth is to be drilled in a mild steel component. The cutting speed can b

Determine the relative maximum error, a) Round off the numbers 865250 amd 3...

a) Round off the numbers 865250 amd 37.46235 to four significant figures and compute Ea, Er, Ep in each case. b) IF u= 4 x 2 y 3 /z 4 and errors in x, y, z be 0.001, determine

Design air coolers for plant layout, Q. Design Air Coolers for plant layout...

Q. Design Air Coolers for plant layout? As air coolers (sometimes called aerial coolers, or fin-fans) have extensive heat transfer surfaces, they are more vulnerable to failure

Define the isolated and combined footings, Isolated and Combined Footings ...

Isolated and Combined Footings Individual columns are generally supported on isolated footings. A typical isolated footing is shown in Figure. This arrangement is suitable when

Explain the Vacuum or vacuum pressure, Vacuum Or Vacuum pressure (P vacc ) ...

Vacuum Or Vacuum pressure (P vacc ) It is the pressure of a fluid that is always less as compared to the atmospheric pressure. Pressure (that is vacuum) in a steam condenser is

The auto component sector-automobiles industry growth , The auto component ...

The auto component sector has also posted significant growth of 20 percent in 2003-04, and achieved a sales turnover of Rs. 30,640 crore (US$ 6.7 billion). Further, there is a pote

Cast iron, CAST IRON: Cast iron is an important alloy of Fe and C are ...

CAST IRON: Cast iron is an important alloy of Fe and C are mostly employed within industry for its convenience to casting in intricate and superior mechanical properties. Stee

Method of least square to fit a curve, a) The voltage v across a capacitor ...

a) The voltage v across a capacitor at time t seconds is given by the following table   t: 0 2 4 6 8   v: 150 63 28 12 5.6 Use the method of least square to fit a curve of

Remove cover left crank case and check for leakage, Remove cover left crank...

Remove cover left crank case and check for leakage: Before attending oil seal leakage check if any leak is there in the highlighted points - Neutral switch "o" ring leak, Shifter

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