Question

finding magnitudes of forces related to an object on a ramp

a brick is placed on a ramp that is inclined \\(24^\circ\\) to the horizontal, as shown. the force \\(\mathbf{c}\\) the brick exerts against the ramp has magnitude \\(17\text{ n}\\).

the figure is not drawn to scale.

complete the following. do not round any intermediate computations, and round your answers to the nearest hundredth.

(a) find the magnitude of the force \\(\mathbf{q}\\) required to prevent the brick from sliding down the ramp.

(b) find the weight of the brick, represented by force \\(\mathbf{g}\\).

Explanation:

Identify the force components on the incline

Using the Incline Plane Forces and Static Equilibrium knowledge points

$$
LATEXBLOCK0
$$

Calculate the weight of the brick

Using the Incline Plane Forces and Static Equilibrium knowledge points

$$
LATEXBLOCK1
$$

Calculate the force required to prevent sliding

Using the Incline Plane Forces and Static Equilibrium knowledge points

$$
LATEXBLOCK2
$$

Answer:

Question 1

(a) Find the magnitude of the force \(Q\) required to prevent the brick from sliding down the ramp.
The magnitude of the force \(Q\) is 7.57 N.

Question 2

(b) Find the weight of the brick, represented by force \(G\).
The weight of the brick is 18.61 N.