Determine reactions force, Mechanical Engineering

Determine reactions force:

Three sphere A, B and C weighing 400N, and 200N and having radii 400mm, 600mm and 400mm respectively are placed in trench as shown in the figure given below. Treating all contact surfaces as smooth, determine reactions developed

148_Determine reactions force.png

.: From the figure given below

Sinα   = BD/AB = (600 - 400)/(400 + 600) = 0.2

= 11.537° Referring to FBD of sphere A (Fig a)

R2cosα  = 200

R2  = 200/cos11.537° = 204.1 N         .......ANS

And R1  - R2sinα    = 0

R1  = 40.8N                                               .......ANS

Referring to the FBD of sphere C,

Sum of forces parallel to the inclined plane = 0

R4cosα  - 200cos45° = 0

R4  = 144.3 N                                           .......ANS

Sum of forces perpendicular to the inclined plane = 0

R4cos(45 -α  ) - R3cos45° = 0

R3  = 170.3N                                             .......ANS

Refer to FBD of cylinder B (as shown in figure)

V = 0

R6sin45° - 400 - R2cos   - R4cos (45 + α   ) = 0

R6sin 45° = 400 + 204.1 cos11.537° + 144.3cos56.537°

R6 = 961.0 N                                           .......ANS

H = 0

R5  - R2sin   - R4sin (45 +α   ) - R6cos45° = 0

R5 = 204.1 sin11.537 + 144.3sin56.537 + 961.0cos45°

R5 = 840.7 N                                           .......ANS


Posted Date: 10/16/2012 6:05:27 AM | Location : United States

Related Discussions:- Determine reactions force, Assignment Help, Ask Question on Determine reactions force, Get Answer, Expert's Help, Determine reactions force Discussions

Write discussion on Determine reactions force
Your posts are moderated
Related Questions
STORAGE AND HANDLING OF ELECTRODES It is recommended that the electrodes should be stored in a warm and dry place. Generally, conditions of storage in the shop are not very condu

a) Describe the role of value engineering in new product design and manufacturing. b) Elaborate the basic concept of Just-in-Time in context of optimization of inventory costs.

Determine the magnitude and nature of the stresses: A thin spherical hollow steel shell of 400 mm diameter & 5 mm thickness is immersed into a liquid container pressurized to

Insulators Thermal insulators are essential in industrial practices, domestic and equipment appliances. That type of materials is basically those that do not have free electro

definition of open and cross belt drive

If Motorcycle Pulls to One Side Causes of Problem Remedy Misaligned shock Absorber Front and rear wheels are not alig

the jet transport B is flying at the velocity of 600km/h when a smaller aircraft A passes underneath the transport headed in the 60 degree direction. To passengers in B, however ap

Show that the entropy maximum principle encountered in the study of isolated system is equivalent to the statement that the nonflow exergy of an isolated system is destined to decr

can you help me to do my project on machine design,it is specific project with calculation and some draw.

A cast iron hollow column, having 100mm external diameter and 80mm internal diameter is used as a column of 2.4 m length. Using Rankine formula, calculate the crippling load, when