Reactions at point while the system is rotating, Mechanical Engineering

Assignment Help:

Reactions at point while the system is rotating:

8 kg ball is mounted on a horizontal bar associated to a vertical shaft. Neglecting the mass of the bar and shaft what are the reactions at B and C while the system is rotating at a constant speed of 90 rpm.

Solution

Free body diagram of the system is illustrated in Figure (b) above. Reactions at B, i.e. Bx and By are marked as shown. Likewise, reaction at C is also marked. As the vertical shaft rotates, the ball shall traverse a horizontal circular path of radius 300 mm, inertia force of mrω2 shall be acting on the ball as illustrated in the diagram.

Now, we write down dynamic equilibrium equations for the same.

∑ Fx  = 0,          ∴ Cx  + Bx  - 8 × 0.3 × ω2 = 0

ω = 2 π n/60 =( 2 π × 90)/60 = 9.42 rad / sec

C x  + Bx  = 8 × 0.3 × (9.42)2

∴ C x  + Bx  = 212.97                                  --------- (1)

∑ Fy  = 0,       By  - 8 × 9.81 = 0                       -------- (2)

∴ By  = 78.48 N

∑ M A  = 0,          ∴ Cx × 0.9 - Bx × 0.3 - By × 0.3 = 0

 or,       0.9 Cx - 0.3 Bx = 23.54

∴ Bx  = 140 N

  C x  = 72.9 N

  By  = 78.48 N


Related Discussions:- Reactions at point while the system is rotating

Turbines, Illustrate governing Mechanism of Francis turbine.

Illustrate governing Mechanism of Francis turbine.

Balancing of several masses rotating in different planes, The crank shaft o...

The crank shaft of a high speed pump has a parallel shaft of 2.5 cm diameter and 48 cm in length. It carries three eccentrics each of 6 cm in diameter and uniform thickness of 1.8

Virtual work, state principle of virtual work

state principle of virtual work

Find the outer and inner diameters of frictional surface, A single plate cl...

A single plate clutch, effective on both sides is needed to transmit 25 KW at 3000 r.p.m. Calculate the outer and inner diameters of frictional surface if the coefficient of fricti

Corrosion resistance of the austenitic stainless steels, The corrosion resi...

The corrosion resistance of the austenitic stainless steels (within the concentration and temperature conditions described above) relies on the formation and stability of a passive

#totto cycleitle.., for an otto cycle, compression ratio=8.5:1,air inlet=15...

for an otto cycle, compression ratio=8.5:1,air inlet=15degree celsius and pressure=101.3kpa, maximum cycle temperature= 1800degree celsius, what is temperature after compression,te

Stress plots, Problem:   The following machine component is loaded as s...

Problem:   The following machine component is loaded as shown.  It is fabricated from Al 6061-T6.   Determine the analytical solution to this problem and compare result

Centerless grinding machine, which type of guideways are used in centerless...

which type of guideways are used in centerless grinding machine? which are the errors find in different guideways?

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