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 = 0.25 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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In figure a body A of mass m slides on a plane inclined at angle ${\mathrm{\theta }}_{1}$ to the horizontal and g is the coefficient of friction between A and the plane. A is connected by a light string passing over a frictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at an angle ${\mathrm{\theta }}_{2}$ to the horizontal.

(a) A will never move up the plane
(b) A will just start moving up the plane when
(c) For A to move up the plane, ${\mathrm{\theta }}_{2}$ must always be greater than ${\mathrm{\theta }}_{1}$
(d) B will always slide down with a constant speed

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

1. (b, c)
2. (c, d)
3. (a, c)
4. (a, d)

Subtopic:  Friction |
56%
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