Determine least value of work, Mechanical Engineering

Assignment Help:

Determine least value of work:

Q. Determine least value of W as shown in the figure given below to keep the system of connected bodies in equilibrium µ for surface of contact between plane AC and block = 0.28 and that between the plane BC and block = 0.02

1161_Determine least value of work.png

Sol.: For least value W, motion of 2000N block must be impending downward.

From the free body diagram of block 2000N as shown in the figure

∑V = 0

R1  - 2000cos30° = 0

R1 = 1732.06N                                                                                                           ...(i)

∑H = 0

T + µ1R1 - 2000sin30° = 0

T = 2000sin30° - 0.20 × 1732.06, T = 653.6N                                             ...(ii)

Now Consider the free body diagram of WN block, as shown in the figure

∑V = 0

R2 = Wcos60° = 0

R2 = 0.5W N                                                                                                            ...(iii)

∑H = 0

T - µ2R2 - Wsin60° = 0

653.6 = Wsin60° - 0.28 × 0.5W

WLEAST = 649.7N                                                                        .......ANS


Related Discussions:- Determine least value of work

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

Copper-nickel alloys, Copper-Nickel Alloys Complete solubility arises ...

Copper-Nickel Alloys Complete solubility arises between nickel and copper. All alloys have same microstructure and may be cold or hot worked. Cupro-nickel also termed as Ge

Find out the centre of gravity of a wire, Find out the centre of gravity of...

Find out the centre of gravity of a wire: Find out the C. G. of a wire of uniform cross-section bent into shape of a semicircle as illustrated in Figure. Solution

Internal combustion engines, During a test on a Lister engine in a thermal ...

During a test on a Lister engine in a thermal laboratory, following parameters were measured; crank shaft speed=1,750rpm Load on dynamometer=220N Radius of dynamometer=1.5m Fuel co

Calculate the kic from the data - thick cylinder, Calculate the KIC from th...

Calculate the KIC from the data - thick cylinder: In a fracture test a 3-point bend specimen of thickness 20 mm and depth 25 mm is supported over a span of 100 mm. The specime

Define non - consumable electrode, Q. Define Non - consumable electrode? ...

Q. Define Non - consumable electrode? These types of electrodes are prepared from high melting point materials. Mainly carbon, pure tungsten and its alloy are used for electrod

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