Your car is stuck in a mudhole. You are alone, but you have a long, strong rope. Having studied physics, you tie the rope tautly to a telephone pole and pull on it sideways, as shown in figure. Find t

Question

Your car is stuck in a mudhole. You are alone, but you have a long, strong rope. Having studied physics, you tie the rope tautly to a telephone pole and pull on it sideways, as shown in figure. Find the force exerted by the rope on the car (in N) when the angle $θ$ is $3^{\circ}$ and you are pulling with a force of 314 N but the car does not move.

$= 3^{\circ}$

Telephone pole

TestHub · Accepted Answer

At the point where you pull, balance gives $F = 2 T sin θ$

$T = \frac{F}{2 s i n θ} = \frac{314}{2 s i n 3 ^{\circ}}$

With $sin 3^{\circ} \approx \frac{3 π}{180}$ : $T = \frac{314 \times 180}{6 π} = 3000$ N

The rope pulls the car with this tension: $3000$ N

Physics - NLM Question with Solution | TestHub

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