) A particle of mass 3kg is attached to the centre of a smooth table by a light inextensible string. If the particle is moving in a horizontal circle with speed 2v2 m/s and the string is 2 m long. Find (a) the angular speed, (b) the tension in the string. ii) A wheel of radius 0.5 m completes 6 revolutions in 3 seconds while rotating with a constant speed. Find (c) its angular speed in rad/s, (d) its acceleration. iii) An elastic string of natural length 0.4m and modulus of clasticity 16N is stretched until the tension in it is 9N. Calculate the extension in the string.

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Answer detailly 7(iii)

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7. (i) A particle of mass 3kg is attached to the centre of a smooth table by a light inextensible string.
If the particle is moving in a horizontal circle with speed 2v2 m/s and the string is 2 m long.
Find
(a) the angular speed,
(b) the tension in the string.
(ii) A wheel of radius 0.5 m completes 6 revolutions in 3 seconds while rotating with a constant speed.
Find
(c) its angular speed in rad/s,
(d) its acceleration.
(iii) An elastic string of natural length 0.4m and modulus of elasticity 16N is stretched until the tension
in it is 9N. Calculate the extension in the string.
Transcribed Image Text:3 7. (i) A particle of mass 3kg is attached to the centre of a smooth table by a light inextensible string. If the particle is moving in a horizontal circle with speed 2v2 m/s and the string is 2 m long. Find (a) the angular speed, (b) the tension in the string. (ii) A wheel of radius 0.5 m completes 6 revolutions in 3 seconds while rotating with a constant speed. Find (c) its angular speed in rad/s, (d) its acceleration. (iii) An elastic string of natural length 0.4m and modulus of elasticity 16N is stretched until the tension in it is 9N. Calculate the extension in the string.
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