Finding the Minimum Angle for Motion on an Inclined Plane

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The problem involves determining the minimum angle required for a box to start moving on an inclined plane when its mass is doubled from 45 kg. Initially, the box moves at an angle of 27 degrees. The frictional force is calculated using the equation F_friction = mgsinθ. Doubling the mass increases the gravitational force acting on the box, which necessitates a higher angle to overcome static friction. The solution confirms that the approach to find the new angle is correct.
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Homework Statement



A box with mass of 45 kg is placed on a flat board. It starts moving when the board is inclined at 27 degrees. If the mass is doubled, what is the minimum angle needed so that it starts moving?

Homework Equations



Frictional force = mgsin\theta

The Attempt at a Solution

 

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physics_freak said:

Homework Statement



A box with mass of 45 kg is placed on a flat board. It starts moving when the board is inclined at 27 degrees. If the mass is doubled, what is the minimum angle needed so that it starts moving?

Homework Equations



Frictional force = mgsin\theta

The Attempt at a Solution

Your (or is it the book's?) solution is correct.
 

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