If we put a ball(made by metal) of dia 10mm on table of
size 200 mm*200 mm . weight of ball is 10 kg(98.1N) it
should point conact with table than what is the stress
acting on table and why?

Answers were Sorted based on User's Feedback



If we put a ball(made by metal) of dia 10mm on table of size 200 mm*200 mm . weight of ball is 10 ..

Answer / sanda

the strees at contacting point is infinet but away from
contacting point is LOAD/cross sectional area of table
(98.1/0.04=3.924 N/M^2).
It is due to the saint venent principle.

Is This Answer Correct ?    4 Yes 2 No

If we put a ball(made by metal) of dia 10mm on table of size 200 mm*200 mm . weight of ball is 10 ..

Answer / djangokill

Exact mathematical geometries arent followed in real world, and this is actually not a case of point contact. Rather, the ball would depress a certain amount, and a finite small surface would be in contact. For kinematic analysis, we may assume this insignificant and assume it a point contact.

Is This Answer Correct ?    2 Yes 1 No

If we put a ball(made by metal) of dia 10mm on table of size 200 mm*200 mm . weight of ball is 10 ..

Answer / psg tech

It is a contact problem. The stress developed near contact
region is given by(if both ball and table are of same
material),

0.388*(P*E^2/R^2)^0.33

P = load
E = Youngs modulus of ball
R = radius of ball

Is This Answer Correct ?    0 Yes 0 No

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