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. B_x and B_y 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.

∑ F_x  = 0,          ∴ C_x  + B_x  - 8 × 0.3 × ω² = 0

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

C _x  + B_x  = 8 × 0.3 × (9.42)²

∴ C _x  + B_x  = 212.97                                  --------- (1)

∑ F_y  = 0,       B_y  - 8 × 9.81 = 0                       -------- (2)

∴ B_y  = 78.48 N

∑ M _A  = 0,          ∴ C_x × 0.9 - B_x × 0.3 - B_y × 0.3 = 0

 or,       0.9 C_x - 0.3 B_x = 23.54

∴ B_x  = 140 N

  C _x  = 72.9 N

  B_y  = 78.48 N

Posted Date: 1/29/2013 6:38:34 AM | Location : United States

Ask an Expert

Related Discussions:- Reactions at point while the system is rotating, Assignment Help, Ask Question on Reactions at point while the system is rotating, Get Answer, Expert's Help, Reactions at point while the system is rotating Discussions

Write discussion on Reactions at point while the system is rotating
Your posts are moderated

Write your message here..

Related Questions

AXIAL FLOW COMPRESSORS, APPLICATIONS APPLICATIONS

Describe dry and wet parting materials, Q. Describe Dry and wet parting mat... Q. Describe Dry and wet parting materials? Dry parting materials: These are applied by dusting. These include : charcoal, ground bone and limestone, lycopodium(a yellow veget

Simply supported beam, Simply Supported Beam: Simply Supported Beam: ... Simply Supported Beam: Simply Supported Beam: The beam on which both ends are supported, either by point load or hinged or roller support.

Minimal external force required to achieve alignment, Q. Minimal external f... Q. Minimal external force required to achieve alignment? Minimal external force shall be applied to achieve alignment. Flanged joints not conforming to the dimensional toleranc

Head pump, the pump, shown in the figure, is used to deliver water to a dis... the pump, shown in the figure, is used to deliver water to a distribution system. there is no flow to or from reservoir A, but it is used to damp pressure and protect the pump. th

Derive heat transfer and work transfer expression, Derive heat transfer and... Derive heat transfer and work transfer expression in an non-flow or closed isothermal and polytropic procedure?

., what is fluid? what is fluid?

Torsion , in the torsion equation the term j/r is called in the torsion equation the term j/r is called

Postweld heat treatment, Q. Postweld heat treatment? When the equipment... Q. Postweld heat treatment? When the equipment data sheet specifies post-weld heat treatment either for service conditions or code requirements, welding, hammering (peening), o

What are the functions of lubrication system, (a) What are the functions of... (a) What are the functions of lubrication system? (b) Define the working of lubrication system used for internal parts of engine. (c) What is chasis lubrication system? Descr