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

Alloy steels, Alloy Steels: Carbon steels in their commercial forms al...

Alloy Steels: Carbon steels in their commercial forms all times comprise specific amounts of other elements. A lot of of these elements enter the steel from the ores and it is

Use of high temperature material in superheaters, Q. Use of High temperatur...

Q. Use of High temperature material in Superheaters? Typically superheaters and reheaters provide service lives of approximately 15 years (i.e. half the expected service life o

Find out the velocity of the chain, Find out the velocity of the chain: ...

Find out the velocity of the chain: Figure shows a metal chain ABC where portion BC is of length 0.4 metres and is hanging vertically, & portion AB of length 0.8 metres rests

Determine the net rate of work output, A piston and a cylinder machine obta...

A piston and a cylinder machine obtains a fluid system, which passes through a complete cycle of four processes. In the mean while a cycle the sum of all heat transfer is 150KJ and

Finite element method, need help with mu assignment . urgent have to submit...

need help with mu assignment . urgent have to submitted it by tomoroww morning

Belt drive, how will u designate a v belt

how will u designate a v belt

Electrical system, Electrical System: Electrical system consists of a batt...

Electrical System: Electrical system consists of a battery, spark plug, lighting system, ignition system, charging system and electricity generator. These components of electrical

Working of a four-stroke engine , Working of a Four-stroke Engine: To unde...

Working of a Four-stroke Engine: To understand the working of a four-stroke motorcycle engine, the whole operation can be divided into four parts, known as strokes. The strokes ar

Priority rules-conventional priority rules, Priority Rules A main conce...

Priority Rules A main concern rule is an algorithm that evaluates a priority number PN j for all operation j which enters the queue in front of a station (processing, cell, wo

Storage and handling of hazardous substances, Stores for hazardous substanc...

Stores for hazardous substances shall be segregated from, and located at a safe distance from accommodation spaces and control room. Indoor storage areas require access from an ope

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