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A cubical box (equal side lengths) of mass 1.7 kg (outline shown in blue in the figure) is supported at an angle = 16 degrees relative to a horizontal surface. The cable supporting the box is at an angle perpendicular to the in-plane diagonal of the box (shown as a dotted line). What is the minimum coefficient of static friction between the box and the horizontal surface such that the box will not slide?

A cubical box (equal side lengths) of mass 1.7 kg (outline shown in blue in the figure) is supported at an angle = 16 degrees relative to a horizontal surface. The cable supporting the box is at an angle perpendicular to the in-plane diagonal of the box (shown as a dotted line). What is the minimum coefficient of static friction between the box and the horizontal surface such that the box will not slide?

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A cubical box (equal side lengths) of mass 1.7 kg (outline shown in blue in the figure) is supported at an angle θ = 16 degrees relative to a horizontal surface. The cable supporting the box is at an angle perpendicular to the in-plane diagonal of the box (shown as a dotted line). What is the minimum coefficient of static friction between the box and the horizontal surface such that the box will not slide? ### Diagram Explanation The diagram illustrates a cubical box resting on a horizontal surface. The box is tilted, supported by a cable. Key components include: - **Box (Blue Outline):** A square shape aligned at an angle. - **Cable:** The cable is shown in red and supports the box from above, pulling it towards its point of attachment on the wall. - **Dotted Line:** Represents the in-plane diagonal of the box. - **Angles:** - The angle θ is the tilt of the box relative to the horizontal surface. - θ + 45° indicates the orientation of the box's diagonal in relation to the horizontal base. The scenario aims to determine the minimum coefficient of static friction required to prevent the box from sliding on the surface.
Transcribed Image Text:A cubical box (equal side lengths) of mass 1.7 kg (outline shown in blue in the figure) is supported at an angle θ = 16 degrees relative to a horizontal surface. The cable supporting the box is at an angle perpendicular to the in-plane diagonal of the box (shown as a dotted line). What is the minimum coefficient of static friction between the box and the horizontal surface such that the box will not slide? ### Diagram Explanation The diagram illustrates a cubical box resting on a horizontal surface. The box is tilted, supported by a cable. Key components include: - **Box (Blue Outline):** A square shape aligned at an angle. - **Cable:** The cable is shown in red and supports the box from above, pulling it towards its point of attachment on the wall. - **Dotted Line:** Represents the in-plane diagonal of the box. - **Angles:** - The angle θ is the tilt of the box relative to the horizontal surface. - θ + 45° indicates the orientation of the box's diagonal in relation to the horizontal base. The scenario aims to determine the minimum coefficient of static friction required to prevent the box from sliding on the surface.
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