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

Determine velocity at a cross section of the pipe, Consider a fully develop...

Consider a fully developed laminar flow of a fluid through a 200 m long and 4 cm diameter horizontal and circular pipe. The density and the viscosity of the fluid are 1400 kg/m 3

Evaluate the temperature gradient in the flow direction, A plane wall (ther...

A plane wall (thermal conductivity = 10.2 w/m o c) of 100 mm thickness and area 3m 2 has steady surface temperature of 170 o c and 100 o c. Evaluate :- (i) The temperature

Calculate transmitted force, A machine having a mass of 100 Kg and supporte...

A machine having a mass of 100 Kg and supported on springs of total stiffness 7.84 x 105 n/m has an unbalanced rotating element which results in a disturbing force of 400 N at a sp

Calculate the time required to complete the job, Five jobs are performed fi...

Five jobs are performed first-on Machine-I and then on Machine-II. Time in hours taken by each job on each machine is given below :

Thermodynamics, show that energy of an isolated system is conserved

show that energy of an isolated system is conserved

Evaluate the acceleration of the three weights, Evaluate the acceleration o...

Evaluate the acceleration of the three weights: A system of weight connected by the string passing over pulleys A and B is shown in figure given below. Find out acceleration

Objectives of motorcycle servicing , Objectives After studyingmotercyc...

Objectives After studyingmotercycle servicing, you should be able to appreciate the importance of regular servicing and maintenance of a motorcycle and also to recommen

Mounting systems for the welding head-carriage mounted type, Mounting Syst...

Mounting Systems For The  Welding Head-Carriage mounted type In this set up, the welding head is mounted on a movable carriage. The carriage is mounted on rails and powered by a

Steam generator master pressure control, Q. Steam Generator Master Pressure...

Q. Steam Generator Master Pressure Control? The combined header pressure is controlled by a regular P.I.D. controller which ultimately trims the water flow to each boiler. A

Determine the load on beam, Determine the load on beam: A rectangular ...

Determine the load on beam: A rectangular beam of width 200 mm and depth 300 mm is simply supported over a span of 5 m. determine the load that the beam may carry per metre le

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