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Grade 11Mechanics

A mass m rotating freely in a horizontal circle of radius 1 m on a

frictionless smooth table supports a stationary mass 2m, attached to the

other end of the string passing through smooth hole O in table, hanging

vertically. Find the angular velocity of rotation.

Profile image of avinash saran
13 Years agoGrade 11
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2 Answers

Profile image of Ashwin Ashutosh Yardi
13 Years ago

for block rotating on table...

T = mv2/r where T is tension

and for block hanging vertically,

T= mg

mg= mv2/r

v = root ( rg)

  =root(10)

w= v/r=root(10)/1 = root ( 10)= 3.2 rad/sec

Profile image of Mehak Sharma
8 Years ago
For block rotating on table.... T=mv^2/RFor block hanging.....T=2mg2mg=mv^2/Rv=√2Rgv=√2g (R=1m)Angular velocity = v/R =√2g/1=√2g