Problem: A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is μstatic = 0.86. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, with respect to the ground. Assume the x-axis is along the plank as shown in figure.Determine θ in degrees.

FREE Expert Solution

The magnitude of the force of gravity in the y-direction is:

Fgy = - mgcosθ

The maximum frictional force is given by:

Fs = µs

But N = mgcosθ

Therefore, Fs max = µsmgcosθm

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Problem Details

A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is μstatic = 0.86. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, with respect to the ground. Assume the x-axis is along the plank as shown in figure.

Determine θ in degrees.

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Our tutors have indicated that to solve this problem you will need to apply the Static Friction concept. You can view video lessons to learn Static Friction. Or if you need more Static Friction practice, you can also practice Static Friction practice problems.