## Sliding Down a Ramp

Consider a triangular block mass is resting on an adjustable ramp in the figure below. The block begins to slide when the ramp is rotated upwards until the angle is at 40°. Determine the static friction coefficient.

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__**Hint**

**Hint**

If we break down the gravitational force into frictional and normal force components:

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__**Hint 2**

**Hint 2**

The max friction force developed before the block slides is
$$F_{static}\leq \mu F_{normal}$$

If we break down the gravitational force into frictional and normal force components:

The max friction force developed before the block slides is
$$F_{static}\leq \mu F_{normal}$$

$$$F_{static}= \mu F_{normal}\rightarrow \mu=\frac{F_{static}}{F_{normal}}$$$

$$$\mu=tan(\theta)=tan(40)=0.84$$$

0.84