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

Ladder friction, Ladder friction: .: A ladder is an arrangement whic...

Ladder friction: .: A ladder is an arrangement which is used for climbing on the walls. It consists of two long uprights of wood or iron and connected by many cross bars. Th

Draw the bending moment and shear force diagram, Draw the bending moment an...

Draw the bending moment and shear force diagram for the following cases : a) A cantilever beam of length (L) carrying a Point load (W)at its free end. b) A simply supported b

Calculate a quarterly delivery schedule, Gibson Ltd operates sportswear sto...

Gibson Ltd operates sportswear stores in Dublin and Cork and has set the following quarterly sales target for international and provlncial rugby shirts for 2013 per the attached sc

State - thermodynamics, STATE - Thermodynamics: The State of system is...

STATE - Thermodynamics: The State of system is its condition or configuration described in detail. State is the condition of the system which is identified by thermodynamic

Illustrate the general shear failure in bearing capacity, Illustrate the ge...

Illustrate the general shear failure in bearing capacity. General Shear Failure: In this case of failure, contiguous failure surfaces develop between the edges of the footin

Stresses., temparature stresses in composite bars

temparature stresses in composite bars

Compound stress, Compound Stress: Define Compound Stress. Sol.: ...

Compound Stress: Define Compound Stress. Sol.:   Simple stresses mean tensile stress or compressive stress or shear stress. The tensile and compressive stresses act on p

Evaluate the heat input per day, The input-output curve of a 60 MW power st...

The input-output curve of a 60 MW power station is provided by : I = 10 6 [8 + 8L + 0.4L 2 ] Kcl/hour where I is the input in the Kcal/hour and L is the load in MW. (a) Ev

Visual realism, VISUAL REALISM: Hidden line and surface removal elimin...

VISUAL REALISM: Hidden line and surface removal eliminates the ambiguities of the displays of three-dimensional models and is considered the first step toward visual realism.

Compare two stroke with four stroke engine, Compare Two Stroke with four st...

Compare Two Stroke with four stroke Engine: T w o Stroke Engine In two stroke engine all the four operation that is suction, compression, ignition and exhaust are compl

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