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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Rotational Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics

A string is wrapped on a wheel of moment of inertia 0.20 kg-m^2 and...

A string is wrapped on a wheel of moment of inertia 0.20 kg-m20.20 \text{ kg-m}^2 and radius 10 cm10 \text{ cm} and goes through a pulley to support a block of mass 2.0 kg2.0 \text{ kg} as shown in the figure. The smaller pulley has radius 5.0 cm5.0 \text{ cm} and moment of inertia 0.10 kg-m20.10 \text{ kg-m}^2. Find the tension in the part of the string joining the pulleys.
A string is wrapped on a wheel of moment of inertia 0.20 kg-m^2 and radius 10 cm and goes through a pulley to support a

Options

  1. A6.3 N6.3 \text{ N}
  2. B4.2 N4.2 \text{ N}
  3. C8.4 N8.4 \text{ N}
  4. D12.6 N12.6 \text{ N}

Correct answer

A. 6.3 N6.3 \text{ N}

Step-by-step solution

Write equations for the block and use τ=Iα\tau = I\alpha for the two pulleys with α=a/r\alpha = a/r. Solving the coupled equations gives the string tension between the pulleys as 6.3 N6.3 \text{ N}.
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