Question

Find the push P at an object on the longest side of a right triangle with 30 angle that will keep the body moving upward uniformly, coefficient of friction is 0.20.

Answer 1

Answer on Question #64162-Physics-Mechanics-Relativity

Find the push P at an object on the longest side of a right triangle with 30 angle that will keep the body moving upward uniformly, coefficient of friction is 0.20.

Solution

Let the X-axis is parallel to the longest side of a right triangle and Y-axis is perpendicular to it.

The body moving upward uniformly, so the sum of forces is zero.

Y-axis:

$$N - mg \cos 30 = 0 \rightarrow N = mg \cos 30$$

X-axis

$$P - \mu N - mg \sin 30 = 0$$

The acceleration from the force P is

$$a = \frac{P}{m} = \mu g \cos 30 + g \sin 30 = 9.8(0.2 \cos 30 + \sin 30) = 6.6 \frac{m}{s^2}.$$

Answer: $6.6 \frac{m}{s^2}$.

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