A uniform meter stick of mass 200 g is suspended from the ceiling through two vertical strings of equal lengths fixed at the ends. A small object of mass 20 g is placed on the stick at a distance of 70 cm from the left end. Find the tensions in the two strings.
The value of tension
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Given
The uniform meter stick of mass is given as 200, the mass of 200g is at a distance of 50 cm and 20g is suspended at a distance of 30cm
Formula Used
The torque applied by the mass and radius of the rod is the product of the force and the radius of rotation of the rod
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where
is the torque of the rod, F is the force in terms of tension, r is the length of the weight suspended at certain distance.
Explanation
The value of the tension given are
and![]()
The total tension formed due to the suspended weights are given as
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The rod is kept at an equilibrium when the rod is at rest
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Placing the equation (1) in equation (2) we get the value of
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Putting the value of
, in equation 2, we get the value of
as
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