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

Evaluate resultant force on the bucket, A single jet pelton wheel runs at 3...

A single jet pelton wheel runs at 300 rpm under a head of 510 m. the jet diameter is 200m, its deflection inside the bucket is 165 o and its relative velocity is reduced by 15% be

Energy method, A semi circular frame of flexural rigidity EI is built at A ...

A semi circular frame of flexural rigidity EI is built at A and caries a vertical load W at B. calculate the magnitude of the vertical and horizontal deflection at B and hence the

What are main important terms included in the footings, What are main impor...

What are main important terms included in the footings? Term included in the footings: a. described different types of footings and the process of selecting each type, b.

Thermodynamics, You wish to boil 1.2 kg of water, which has a specific heat...

You wish to boil 1.2 kg of water, which has a specific heat capacity of 4186 J/kg-K. The water is initially at room temperature (293 K). Water boils at 373 K. How much energy must

Force exerted by jet on an fixed vertical plate, Show that the force exerte...

Show that the force exerted by jet of water on a fixed semi-circular plate in the direction of jet when the jet strikes at the centre of the semi-circular plate is two times the fo

Polythionic Acid Stress Corrosion Cracking, In Naphtha Hydrotreating Unit, ...

In Naphtha Hydrotreating Unit, does feed/effluent heat exchangers require passivation to avoid polythionic acid stress corrosion cracking.

Som, a steel bar is

a steel bar is

What do you understand by inversion of mechanism, (a) What do you understan...

(a) What do you understand by Inversion of Mechanism ? Describe in detail the following : (i) Crank and Lever mechanism (ii) Double crank Mechanism (b) What are the condit

How to define automatic float operated gauges, Q. How to define automatic f...

Q. How to define automatic float operated gauges? In recording type gauges, automatic float operated gauges are more common. The well for the float provides room for installati

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