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

Hot service insluation thicknesses, Q. Hot Service Insluation Thicknesses? ...

Q. Hot Service Insluation Thicknesses? Hot Service Insluation Thicknesses are specified based on the following design criteria: • Average Annual Climatic Conditions:

Thermodynamics, discus the method to finding the width of impeller blades i...

discus the method to finding the width of impeller blades in a rotary air compressor

Clausius statement - thermodynamics, Clausiu s statement: It is impos...

Clausiu s statement: It is impossible to construct this type of H.P. which operates on cyclic process and allows transfer of heat from colder body to a hotter body without th

Site selection - planning a new airport, Site Selection: The followi...

Site Selection: The following consideration govern the choice of site for an airport : (a)        The area served must be able to generate and attract the estimated passen

Evaluate stress in fibre, Evaluate stress in fibre: Example, the matri...

Evaluate stress in fibre: Example, the matrix material can be stressed to its full strength of 80 MPa, calculate the allowable % of broken fibres. What will be the stress in f

Find minimum time for a vehicle to go from 0 to 60 mph, For a few of the fo...

For a few of the following problems the constant acceleration is due to gravity and will be notated as a = g = 32 ft/sec 2 . 'g' perhaps positive or negative depending on the conte

Resolving all of the forces normal to the inclined plane, Resolving all of ...

Resolving all of the forces normal to the inclined plane: A body weighing 500 N is resting on an inclined plane making an angle of 30 o with the horizontal. The coefficient o

Gradual engagement-various factors in clutch design , Gradual Engagement : ...

Gradual Engagement : The clutch should positively take the drive gradually without the occurrence of sudden jerks.

Spark ignition engines - thermodynamics, Spar k Ignition Engines (or S.I. ...

Spar k Ignition Engines (or S.I. Engine): It works on otto cycle. In Otto cycle, energy supply and rejection occur at the constant volume process and compression and expansio

Die design, #question calculate bending force

#question calculate bending force

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