In the figure, the coefficient of friction between the floor and body B is 0.1. The coefficient of friction between bodies B and A is 0.2. A force F is applied as shown on B. The mass of A is rn/2 and of B is m.

 a. The bodies will move together if F = O .25 mg b. The A will slip with B if F = 0.5 mg c. The bodies will move together if F = 0.5 mg d. The bodies will be at rest if F = 0.1 mg e The maximum value of F for which the two bodies will move together is 0.45 mg

Which of the following statement(s) is/are true?

1. (a, b, d, e)

2. (a, c, d, e)

3. (b, c, d)

4. (a, b, c)

Subtopic:  Application of Laws | Friction |
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Mass ${\mathrm{m}}_{1}$ moves on a slope making an angle $\mathrm{\theta }$ with the horizontal and is
attached to mass ${\mathrm{m}}_{2}$ by a string passing over a frictionless pulley as
shown in the figure. The coefficient of friction between ${\mathrm{m}}_{1}$ and the sloping
surface is $\mathrm{\mu }$.

(b) If m2>m1(sinθ+μcosθ), the body will move up the plane.
(c) If m2<m1(sinθ+μcosθ), the body will move up the plane.
(d) If m2<m1(sinθμcosθ), the body will move down the plane.

Which of the following statement/s is/are true?

1. (a, d)

2. (a, c)

3. (c, d)

4. (b, d)

Subtopic:  Friction |
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