1) skids against both A cylindrical disc of mass M and radius R (ICOM the floor and the wall of a corner as shown in the figure. The coefficient of friction between the disc and both surfaces is UK, gravitational acceleration is g. Initial angular speed of the disc at the instant it is placed on the corner is wo and the center of mass of the disc does not move during the subsequent rotation. MR2. a) Draw a free body diagram for the disc. b) Find its angular acceleration. wo M, R

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 1:**

A cylindrical disc of mass \( M \) and radius \( R \) \((I_{\text{COM}} = \frac{MR^2}{2})\) skids against both the floor and the wall of a corner as shown in the figure. The coefficient of friction between the disc and both surfaces is \( \mu_K \), gravitational acceleration is \( g \). The initial angular speed of the disc at the instant it is placed on the corner is \( \omega_0 \) and the center of mass of the disc does not move during the subsequent rotation.

**Tasks:**
a) Draw a free body diagram for the disc.
b) Find its angular acceleration.

**Figure Description:**
The diagram shows a cylindrical disc positioned in a corner, where the corner is formed by a horizontal floor and a vertical wall. The disc has mass \( M \) and radius \( R \). There is an arrow on the disc indicating its initial angular speed \( \omega_0 \), showing rotation about its own axis. The disc is in contact with the floor and the wall, and the center of mass is denoted by \( M, R \). The orientation and movements relative to the surfaces imply skidding friction.
Transcribed Image Text:**Problem 1:** A cylindrical disc of mass \( M \) and radius \( R \) \((I_{\text{COM}} = \frac{MR^2}{2})\) skids against both the floor and the wall of a corner as shown in the figure. The coefficient of friction between the disc and both surfaces is \( \mu_K \), gravitational acceleration is \( g \). The initial angular speed of the disc at the instant it is placed on the corner is \( \omega_0 \) and the center of mass of the disc does not move during the subsequent rotation. **Tasks:** a) Draw a free body diagram for the disc. b) Find its angular acceleration. **Figure Description:** The diagram shows a cylindrical disc positioned in a corner, where the corner is formed by a horizontal floor and a vertical wall. The disc has mass \( M \) and radius \( R \). There is an arrow on the disc indicating its initial angular speed \( \omega_0 \), showing rotation about its own axis. The disc is in contact with the floor and the wall, and the center of mass is denoted by \( M, R \). The orientation and movements relative to the surfaces imply skidding friction.
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