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A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest.

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The centripetal acceleration of the mass is 10 m/s².

What is the centripetal acceleration of the mass?

The centripetal acceleration of the mass when it is at the lowest position is calculated as follows;

Tsinθ = ma - mg

where;

  • θ is the angle of inclination of the string
  • T is the tension in the string
  • m is mass suspended
  • a is centripetal acceleration of the mass
  • g is acceleration due to gravity

when the mass is at the lowest position, θ = 0

The centripetal acceleration of the mass is calculated as follows;

T sin (0) = ma - mg

0 = ma - mg

ma = mg

a = g

Given that g, acceleration due to gravity = 10 m/s²

Hence, a = 10 m/s²

Learn more centripetal acceleration about here: https://brainly.com/question/79801

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The complete question is below:

A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest. Calculate the centripetal acceleration of the mass when it is at the lowest position ( take g = 10 m/s²).

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