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

Find out horizontal and vertical components of hinge force, Find out horizo...

Find out horizontal and vertical components of hinge force: The frame shown in Figure is supported by a hinge at E and a roller support at D. Find out horizontal and vertical

Explain the manufacturing process, MANUFACTURING PROCESS A manufacturin...

MANUFACTURING PROCESS A manufacturing process is the activity (or a combination of activities) of transforming a given material into a product of different forms and sizes and

Relativity of simultaneity, Relativity of simultaneity Two events occur...

Relativity of simultaneity Two events occurring at different space co-ordinates x 1  and x 2  in an inertial frame S, are said to be simultaneous, if they occur at the same tim

Describe about water disposal system, Q. Describe about Water disposal syst...

Q. Describe about Water disposal system? Disposal water from the Evaporator Package is cooled down to 50°C by the Disposal Cooler and is sent to Disposal Water Tank(s). Disp

Engine oil level and viscosity, Engine oil level and viscosity : Ensure th...

Engine oil level and viscosity : Ensure that the engine oil level is maintained till the upper mark on the gauge oil level. Check engine oil viscosity. Oil should not be abnormall

Density and specific volume - thermodynamics, DENSIT Y (ρ ): Density ...

DENSIT Y (ρ ): Density is defined as mass per unit volume; Density = mass/ volume; = m/v, kg/m 3 P for Hg = 13.6 × 103  kg/m 3 for water = 1000 kg/m 3 Specifi

Nozzle design loads, Q. Nozzle Design Loads? Minimum nozzle design load...

Q. Nozzle Design Loads? Minimum nozzle design loads shall be in accordance. F = Axial force on centre line of nozzle (lbs); Maximum Transverse Force =1.5F F R = Resultan

Super charger, types of compressor used in super chasrger

types of compressor used in super chasrger

#, parameters in designing a presure vessels

parameters in designing a presure vessels

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