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Block A as sh...

Question

Block A as shown in Fig. weights 1.40N, and block B weights 4.20N. The coefficient of kinetic friction between all surfaces is 0.30. Find the magnitude of the horizontal force necessary to drag block B to the left at constant speed if A and B to left at constant speed if A and B are connected by a light, flexible cord passing around a fixed, frictionless pulley.

A

6N

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B

2.52N

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C

4N

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D

7N

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Solution

The correct option is B 2.52N
$\begin{matrix} f_{2} = (1.40 + 4.20) μ = 0.3 \times 5.6 = 1.68 N N o w, m g = 1.40 N f = μ m g = 0.3 \times 1.40 = o .42 N T . f = 0.42 N F = f_{1} + T + f_{2} = (0.42) 2 + 1.68 = 0.34 + 1.68 = 2.52 N H e n c e, o p t i o n B i s c o r r e c t a n s w e r . \end{matrix}$

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