Question

A string of length 1 m is fixed at one end and a mass of 100g is attached at the other end . The string makes 2/pi rev/sec around a vertical axis through the fixed point . What is the inclination angle of the string with the vertical

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11th

Physics

Laws of Motion

Dynamics of Circular Motion

A string of length 1 m is f...

PHYSICS

A string of length 1m is fixed at one end with a bob of mass 100 g and the string makes

π

2

revs

−1

around a vertical axis through a fixed point. The angle of inclination of the string with vertical is

MEDIUM

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ANSWER

Given; ν=

π

2

rev/s

w=2πν=4rad/s

Now, mrw

2

=Tsinθ ....(1) where r=Lsinθ

Also mg=Tcosθ ........(2)

Dividing the equations,

we get cosθ=

Lw

2

g

cosθ=

1×4×4

10

=

8

5

θ=cos

−1

8

5

Explanation:

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