45. M SSM A stationary bicycle is raised off the ground, and its front wheel (m = 1.3 kg) is rotating at an angular velocity of 13.1 rad/s (see the drawing). The front brake is then applied for 3.0 s, and the wheel slows down to 3.7 rad/s. Assume that all the mass of the wheel is concentrated in the rim, the radius of which is o.33 m. The coefficient of kinetic friction between each brake pad and the rim is uk = 0.85. What is the magnitude of the normal force that each brake pad applies to the rim? Brake pads 0.33 m

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**Problem Statement:**

A stationary bicycle is raised off the ground, and its front wheel (mass = 1.3 kg) is rotating at an angular velocity of 13.1 rad/s. The front brake is then applied for 3.0 seconds, and the wheel slows down to 3.7 rad/s. Assume that all the mass of the wheel is concentrated in the rim, the radius of which is 0.33 meters. The coefficient of kinetic friction between each brake pad and the rim is μₖ = 0.85. What is the magnitude of the normal force that each brake pad applies to the rim?

**Diagram Explanation:**

The diagram shows a vertical view of a bicycle wheel with brake pads applied on either side of the rim. The radius of the wheel is given as 0.33 meters. The brake pads apply force on the rim to slow down the wheel.

The given parameters are:
- Initial angular velocity (ω₀) = 13.1 rad/s
- Final angular velocity (ω) = 3.7 rad/s
- Time of braking (t) = 3.0 seconds
- Mass of wheel (m) = 1.3 kg
- Radius of wheel (r) = 0.33 meters
- Coefficient of kinetic friction (μₖ) = 0.85

**Question:**

Determine the magnitude of the normal force that each brake pad applies to the rim.
Transcribed Image Text:**Problem Statement:** A stationary bicycle is raised off the ground, and its front wheel (mass = 1.3 kg) is rotating at an angular velocity of 13.1 rad/s. The front brake is then applied for 3.0 seconds, and the wheel slows down to 3.7 rad/s. Assume that all the mass of the wheel is concentrated in the rim, the radius of which is 0.33 meters. The coefficient of kinetic friction between each brake pad and the rim is μₖ = 0.85. What is the magnitude of the normal force that each brake pad applies to the rim? **Diagram Explanation:** The diagram shows a vertical view of a bicycle wheel with brake pads applied on either side of the rim. The radius of the wheel is given as 0.33 meters. The brake pads apply force on the rim to slow down the wheel. The given parameters are: - Initial angular velocity (ω₀) = 13.1 rad/s - Final angular velocity (ω) = 3.7 rad/s - Time of braking (t) = 3.0 seconds - Mass of wheel (m) = 1.3 kg - Radius of wheel (r) = 0.33 meters - Coefficient of kinetic friction (μₖ) = 0.85 **Question:** Determine the magnitude of the normal force that each brake pad applies to the rim.
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