Determine contact reactions and force, Mechanical Engineering

Determine contact reactions and force:

Figure given below shows a sphere resting in smooth V shaped groove and subjected to a spring force.

The spring is compressed to length of 100mm from its free length of 150mm. If stiffness of spring is 2N/mm, determine contact reactions at A and B.

1614_Determine contact reactions and force.png

The spring is compressed from 150mm to 100mm. So it is exiting compressive force, which is acting vertically downward on sphere.

As,

Spring force(F) = K.x

Given K = 2N/mm

x = 150 - 100 = 50mm

F = 2 × 50 = 100N                                                                                                 ...(i)

Let RA  and RB  be the contact reaction at Point A and B.

Here wt of sphere and F are the collinear force, both act down ward so net force is = 100 + 40, acting downward.

Apply lamis theorem at 'O'

RA/sin(90° + 30°) = RB/sin(90° + 60°)

= 140/ sin(180° - 90°)

By further solving

RA = 121N                                                           .......ANS

RB = 70N              .......ANS

Posted Date: 10/16/2012 6:01:19 AM | Location : United States







Related Discussions:- Determine contact reactions and force, Assignment Help, Ask Question on Determine contact reactions and force, Get Answer, Expert's Help, Determine contact reactions and force Discussions

Write discussion on Determine contact reactions and force
Your posts are moderated
Related Questions
Step s Involved for Method of Section: The different steps involved are stated below: (1) First find out support reaction by using equilibrium conditions. (2) The truss

Determine weight of body and coefficient of the friction: For ce of 200N is needed just to move a certain body up an inclined plane of angle 15°, the force is parallel to th

Cylinder Block: This serves as an enclosure to the cylinder. The cylinder is an integral part of cylinder block in 100 cc motorcycle. Figure : Cylinder Block

velocity ratio is 3 .pinion has 40 teeth. what would be the gear no of teeth?


ARC WELDING POWER SOURCES CLASSIFICATION:OUTPUT CHARACTERSTICS The output characteristic of welding power source is a funct ional relationship between output voltage and load

Oil Gun: This is used to supply fluid oil to chassis lubrication (Figure). Figure : Oil Gun

history of electronics materials


A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifugal pump mounted at ground level. Liquid conditions