Question

An object made of two disc shaped sections A and B, as shown in the figure is rotating about an axis through the center of disc A. The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg, and 25 cm and 2.5 cm. If the axial frictional torque is 0.2 Nm, how long will it take for the object to come to a stop if it is rotating with an angular velocity of -2? rad/s?

Name: An object made of two disc shaped sections A and B, as shown in the figure is rotating about an axis through the center of disc A. The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg, and 25 cm and 2.5 cm. If the axial frictional torque is 0.2 Nm, how long will it take for the object to come to a stop if it is rotating with an angular velocity of -2? rad/s?
Uploaded: 2023-02-12T07:24:56-08:00
Duration: 4 min 47 s
Channel: Supratim Pal
Description: An object made of two disc shaped sections A and B, as shown in the figure is rotating about an axis through the center of disc A. The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg, and 25 cm and 2.5 cm. If the axial frictional torque is 0.2 Nm, how long will it take for the object to come to a stop if it is rotating with an angular velocity of -2? rad/s?

          An object made of two disc shaped sections A and B, as shown in the figure is rotating about an axis through the center of disc A. The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg, and 25 cm and 2.5 cm. If the axial frictional torque is 0.2 Nm, how long will it take for the object to come to a stop if it is rotating with an angular velocity of -2? rad/s?

An object made of two disc shaped sections A and B, as shown in the figure is rotating about an axis through the center of disc A. The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg, and 25 cm and 2.5 cm. If the axial frictional torque is 0.2 Nm, how long will it take for the object to come to a stop if it is rotating with an angular velocity of -2? rad/s?

Added by Stephen P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

02/12/2023

Step 1

The moment of inertia \( I \) for a disc is given by the formula: \[ I = \frac{1}{2} m r^2 \] For disc A: \[ I_A = \frac{1}{2} \times 2 \, \text{kg} \times (0.25 \, \text{m})^2 = \frac{1}{2} \times 2 \times 0.0625 = 0.0625 \, \text{kg} \cdot \text{m}^2 \] For Show more…

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An object made of two disc shaped sections A and B, as shown in the figure is rotating about an axis through the center of disc A. The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg, and 25 cm and 2.5 cm. If the axial frictional torque is 0.2 Nm, how long will it take for the object to come to a stop if it is rotating with an angular velocity of -2π rad/s?