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Question

A truck is traveling down a road with a 3-percent grade at a speed of $55 \mathrm{mi} / \mathrm{h}$ when the brakes are applied. Knowing the coefficients of friction between the load and the flatbed trailer shown are $\mathrm{m}_s=0.40$ and $\mathrm{m}_k=0.35$, determine the shortest time in which the rig can be brought to a stop if the load is not to shift.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8**Given:**

- Grade of the road is $3\%$;
- Starting velocity of the truck: $V_1 = 55 \frac{\text{ mi}}{\text{ h}} = 80.67\frac{\text{ ft}}{\text{ s}}$;
- Coefficient of friction s: $\mu_s = 0.40$;
- Coefficient of friction k: $\mu_k = 0.35$;
- Gravitational acceleration: $g = 32.2\ \mathrm{\frac{ft}{s^2}}$

**Required:**

- Stopping time.

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