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

Corrosion in boiler, Q. Corrosion in Boiler? With proper BFW treatment,...

Q. Corrosion in Boiler? With proper BFW treatment, and maintaining pH within a certain range (9.2 to 9.4) and removing oxygen from the system, a stable passive film will be for

Scope of corrosion assessment design, Q. Scope of corrosion assessment desi...

Q. Scope of corrosion assessment design? The purpose of this guideline is to describe the common corrosion damaging modes and mitigation methods and provides recommended materi

Objectives registration scheme entrepreneurship development, Objectives of ...

Objectives of the Registration Scheme They are summarized as follows: To enumerate and maintain a roll of small industries to which the package of incentives and suppor

Define what is nose radius, Define What is Nose Radius? The nose radius...

Define What is Nose Radius? The nose radius is provided to increase finish and strength of the cutting tip of the tool. Small radii will produce smooth finish and are used on t

If engine does not start at cranking speed troubleshooting , If Engine Does...

If Engine Does Not Start at Cranking Speed Causes of Problem Remedy Incorrect electrode gap of spark plug Fouled spar

Thermocouple, calibration curve standard temparature vs indicator tempratur...

calibration curve standard temparature vs indicator temprature.

Boiler, boiler water hammering

boiler water hammering

Center of Gravity, Determine the Center of Gravity of a thin hollow right c...

Determine the Center of Gravity of a thin hollow right circular cone of height H and radius of the base circle R.

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