A 1520-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are uk = 0.450 and us = 0.650. The pulley has no appreciable mass or friction. What is the MAXIMUM weight w that can be used to hold this crate stationary on the ramp? w =? Crate 22.0 Ramp 30.0

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A 1520-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are \( \mu_k = 0.450 \) and \( \mu_s = 0.650 \). The pulley has no appreciable mass or friction. What is the MAXIMUM weight \( w \) that can be used to hold this crate stationary on the ramp?

**Diagram Description:**

The diagram shows a ramp inclined at an angle of 30.0° above the horizontal. A crate is placed on the ramp. A massless rope attached to the crate makes an angle of 22.0° with the surface of the ramp. The rope goes over a pulley and is attached to a hanging weight labeled \( w = ? \).
Transcribed Image Text:A 1520-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are \( \mu_k = 0.450 \) and \( \mu_s = 0.650 \). The pulley has no appreciable mass or friction. What is the MAXIMUM weight \( w \) that can be used to hold this crate stationary on the ramp? **Diagram Description:** The diagram shows a ramp inclined at an angle of 30.0° above the horizontal. A crate is placed on the ramp. A massless rope attached to the crate makes an angle of 22.0° with the surface of the ramp. The rope goes over a pulley and is attached to a hanging weight labeled \( w = ? \).
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