A crate of 69 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.4 m, and the angle = 13°. What is the maximum acceleration a (in m/s²) the cart can have without sliding on the cart? The coefficient of static friction between the crate and the cart is g = 0.51. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take g = 9.81 m/s². 0.5 m 0.5 m Your Answer: • G 0 Answer

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A crate of 69 kg simply stands on the moving cart with constant acceleration \( a \). The height from the center of gravity to the cart, \( L \), is 1.4 m, and the angle \( \theta = 13^\circ \). What is the maximum acceleration \( a \) (in m/s\(^2\)) the cart can have without sliding on the cart? The coefficient of static friction between the crate and the cart is \( \mu_g = 0.51 \). Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take \( g = 9.81 \text{ m/s}^2 \).

**Diagram Explanation:**

The diagram shows a wooden crate labeled with its center of gravity \( G \) placed on a cart. The cart is inclined at an angle \( \theta \) relative to the horizontal. The distance from the center of gravity to the point of contact of the crate on the cart is denoted by \( L \). The cart is moving to the right with acceleration \( a \), indicated by an arrow. The crate’s base measures 0.5 m on each side.
Transcribed Image Text:A crate of 69 kg simply stands on the moving cart with constant acceleration \( a \). The height from the center of gravity to the cart, \( L \), is 1.4 m, and the angle \( \theta = 13^\circ \). What is the maximum acceleration \( a \) (in m/s\(^2\)) the cart can have without sliding on the cart? The coefficient of static friction between the crate and the cart is \( \mu_g = 0.51 \). Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Take \( g = 9.81 \text{ m/s}^2 \). **Diagram Explanation:** The diagram shows a wooden crate labeled with its center of gravity \( G \) placed on a cart. The cart is inclined at an angle \( \theta \) relative to the horizontal. The distance from the center of gravity to the point of contact of the crate on the cart is denoted by \( L \). The cart is moving to the right with acceleration \( a \), indicated by an arrow. The crate’s base measures 0.5 m on each side.
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