Determine contact reactions and force, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Determine contact reactions and force

Iterature review, I have literature review and the title is "the effect of...

I have literature review and the title is "the effect of fluid cooling on the performance of building integrated photovoltaic thermal systems. Using some BIPVT prototypes measure

Explain screed unit, Explain the Screed unit The main screed is pivoted...

Explain the Screed unit The main screed is pivoted at the centre point of the machine to assure a constant flatness of work on uneven grounds. It consists of 2440 mm main scree

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

Laws of solid friction, Laws of solid friction: Sol.: The friction w...

Laws of solid friction: Sol.: The friction which exists between two surfaces that are not lubricated is called as solid friction. The two Surfaces can be at rest or one of t

TURBINE, Is it possible to rotate turbine blades without any fluid means th...

Is it possible to rotate turbine blades without any fluid means there is no requirement of water or air to rotate turbine blade. blades may rotates with the help of spring compress

Determine the fluctuation in rail pressure under one wheel, An inside cylin...

An inside cylinder locomotive has its cylinder centre lines 0.70m apart and has a stroke of 0.60m. Rotating mass per cylinder = 150kg Distance between wheel Centre lines = 1.

Estimating time, estimating time of boring, turning,milling?

estimating time of boring, turning,milling?

Strain, is strain in bending important parameter to consider?

is strain in bending important parameter to consider?

Computation for the magnitude, A horizontal line ABCD measuring 9m is acted...

A horizontal line ABCD measuring 9m is acted upon by forces of magnitude 400, 600, 400 and 200 N at points A, B, C, D respectively with downward direction. These point are so locat

Closed system - thermodynamics system, Closed System: The system tha...

Closed System: The system that can exchange energy with the surrounding but not the mass. The quantity of matter hence remains fixed. And the system can be described as cont

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