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

Steel rule-measuring tools , Steel Rule: A steel rule is used to measure l...

Steel Rule: A steel rule is used to measure length. It has two scales - in millimeters and inches. These rules are available in market in discrete lengths such as 15, 30, 60 cms.

Parallelograular law of forces and triangular of forces, two forces are act...

two forces are acting at a point''o'',determine magnitude and direction by using parallelogram law of forces and triangular law of forces

Four stroke engine - thermodynamics, Four Stroke Engine - thermodynamics: ...

Four Stroke Engine - thermodynamics: Figure given below shows the working of a four stroke engine. During suction stroke only air (in case of diesel engine) or air with petrol

Motion, a body of mass 5kg moves with an acceleration of 20m/s calculate th...

a body of mass 5kg moves with an acceleration of 20m/s calculate the force

Die design, #question calculate bending force

#question calculate bending force

Evaluate the deflection at the free end of the cantilever, Evaluate the def...

Evaluate the deflection at the free end of the cantilever: Discover the slope and deflection at the free end of the cantilever illustrated in Figure . Take EI = 200 × 10 6 N-

Define the polyhedra and euler formula, Polyhedra and Euler's Formula T...

Polyhedra and Euler's Formula The b-rep of a polyhedra that are holomorphic to a sphere are topologically valid if they satisfy the following equations : F - E + V - L = 2 (

What is the procedure of carburettor cleaning?, (a) What may happen if carb...

(a) What may happen if carburettor is not serviced at a regular interval? (b) What is the procedure of carburettor cleaning?

Cover left crank case and check shifter drum, Open cover left crank case an...

Open cover left crank case and check shifter drum bolt and washer: Check shifter drum bolt torque and washer direction and avail ability.

Airport layout - planning a new airport, Airport Layout: The main com...

Airport Layout: The main components of an airport are: (a)        Runways (b)       Taxiways (c)        Apron (d)       Terminal area (i)        Terminal build

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