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A rope holds a 25-kg rock at rest on a frictionless inclined plane as shown. Determine the tension in the rope.

A Rope Holds A 25kg Rock At Rest On A Frictionless Inclined Plane As Shown Determine The Tension In The Rope class=

Sagot :

ANSWER:

122.5 N

STEP-BY-STEP EXPLANATION:

In order to determine the tension, we must make a force diagram of the situation, like this

We can see that the tension is equal to the x-component of the weight, therefore:

[tex]\begin{gathered} T=W_x \\ \\ W_x=mg\cdot\sin\theta \\ \\ T=25\cdot9.8\sin30\degree \\ \\ T=122.5\text{ N} \end{gathered}[/tex]

Therefore, the tension is equal to 122.5 newtons

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