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JEE PYQ: Laws Of Motion Question 20

Question 20 - 2020 | 07 Jan Shift 2] (MCQ)

A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the mid-point of the rope such that the top half of the rope makes an angle of $45°$ with the vertical. Then $F$ equals:

(1) 100 N [Correct]

(2) 90 N

(3) 70 N

(4) 75 N

Show Answer

Answer: (1)

Solution

$T\cos 45° = 100$ N, $T\sin 45° = F$. $\tan 45° = \frac{F}{100}$. $F = 100$ N.


Learning Progress: Step 20 of 34 in this series