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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.


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.


Grade:11

2 Answers

Ashwin Ashutosh Yardi
32 Points
8 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

Mehak Sharma
13 Points
4 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

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