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

Determine wheel diameters at the pitch circle of blades, A pelton wheel wor...

A pelton wheel works at the foot of a dam because of which the head available at the nozzle is 220m. the nozzle diameter is 20 c.m. and coefficient of speed 0.98. The wheel operate

Schedule selection-generation of continuation, Schedule Selection Of th...

Schedule Selection Of the p excellent continuations, q (first) operations are scheduled. This offers p latest partial schedules. After that step 1 is repeated. These steps'

Physics, show that the avogadro constant is the number of atoms in 0.072kg ...

show that the avogadro constant is the number of atoms in 0.072kg of carbon-12

Type of lubrication systems , Type of Lubrication Systems The complete...

Type of Lubrication Systems The complete lubrication of a vehicle can be divided into two systems. (a) Engine lubrication system. (b) Chassis lubrication system.

Newton law of cooling, Ask question Briefly explain how, using Newton’s L...

Ask question Briefly explain how, using Newton’s Law of cooling, you may write the temperature of a cooling body as an exponential function of time#Minimum 100 words accepted#

Steel rule-measuring tools , Steel Rule: A steel rule is used to measure l...

Steel Rule: A steel rule is used to measure length. It has two scales - in millimeters and inches. These rules are available in market in discrete lengths such as 15, 30, 60 cms.

Introduction to welding processes, 1.0     INTRODUCTION Welding is a mat...

1.0     INTRODUCTION Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by heating the mate

Work - thermodynamics, Work - thermodynamics: The work can be defined ...

Work - thermodynamics: The work can be defined as follows: "Work is defined as energy transferred across the boundary of a system due to an intensive property difference ot

Mockup of tube to tubesheet, what are the tests to carried out after mockup...

what are the tests to carried out after mockup preparation

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