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

Bell coleman cycle, Derive a formula for a bell coleman efficiency

Derive a formula for a bell coleman efficiency

Try square-measuring tools , Try Square: It has two straight edge arms at ...

Try Square: It has two straight edge arms at the angle of 90 degree and it is used to check the perpendicularity. A try square is shown in Figure. Figure: Try Square

Layout studies and analyses, Layout design development is supported by a nu...

Layout design development is supported by a number of studies and reviews, including: • Hazard identification (HAZID Study) and risk assessments - both qualitative and quantita

Stone slab culverts with abutments, Stone Slab Culverts with Abutments and ...

Stone Slab Culverts with Abutments and Piers: Where good quality stone slabs are available like granite slabs, they can be used for superstructure of culverts, with suitable

About cold extrusion punches, is there any other punch material for making ...

is there any other punch material for making cold forged nut except AISI M2

LPP, (Hint Minimization problem -min X1 + X2, s.t. 2X1 + X2 = 12, X1 + 6X2 ...

(Hint Minimization problem -min X1 + X2, s.t. 2X1 + X2 = 12, X1 + 6X2 = 24, 5X1 + 8X2 = 24; X1, X2 = 0).

Inspection of fasteners of motorcycle, Inspection of Fasteners: The motorc...

Inspection of Fasteners: The motorcycle carries number of nuts and bolts. They should be properly tightened for the smooth running of motorcycle. All fasteners are checked

Determine the dimensions of the tank, Determine the dimensions of the tank:...

Determine the dimensions of the tank: A conical water tank is to be fabricated from steel plate of 10 mm thickness. The shell should contain an apex angle (α) 15o. If the perm

Computer aided manufacturing, Computer systems to plan manage, and control...

Computer systems to plan manage, and control the operations of a manufacturing plant through either direct or indirect computer interface with the plants production resource

Determine the machining time in milling operation, Determine the Machining ...

Determine the Machining Time in Milling Operation An HSS slab mill of 100 mm diameter and 150 mm width is used on a Horizontal milling machine to mill C50 steel. The milling c

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