
question_answer1) When a body is lying on a rough inclined plane and does not move, the force of friction
A) is equal to \[\mu R\] done
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B) is less than \[\mu R\] done
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C) is greater than \[\mu R\] done
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D) is equal to R done
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question_answer2) When a body is placed on a rough plane inclined at an angle \[\theta \] to the horizontal, its acceleration is
A) \[g(\sin \theta \cos \theta )\] done
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B) \[g(\sin \theta \mu \cos \theta )\] done
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C) \[g(\mu \sin \theta 1\cos \theta )\] done
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D) \[g\mu (\sin \theta \cos \theta )\] done
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question_answer3) A block is at rest on an inclined plane making an angle \[\alpha \] with the horizontal. As the angle \[\alpha \] of the incline is increased, the block starts slipping when the angle of inclination becomes \[\theta \]. The coefficient of static friction between the block and the surface of the inclined plane is or A body starts sliding down at an angle \[\theta \] to horizontal. Then coefficient of friction is equal to [CBSE PMT 1993]
A) \[\sin \theta \] done
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B) \[\cos \theta \] done
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C) \[\tan \theta \] done
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D) Independent of \[\theta \] done
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question_answer4) A given object takes n times as much time to slide down a\[45{}^\circ \]rough incline as it takes to slide down a perfectly smooth \[45{}^\circ \] incline. The coefficient of kinetic friction between the object and the incline is given by [RPET 1999; AMU 2000]
A) \[\left( 1\frac{1}{{{n}^{2}}} \right)\] done
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B) \[\frac{1}{1{{n}^{2}}}\] done
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C) \[\sqrt{\left( 1\frac{1}{{{n}^{2}}} \right)}\] done
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D) \[\sqrt{\frac{1}{1{{n}^{2}}}}\] done
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question_answer5) The force required just to move a body up an inclined plane is double the force required just to prevent the body sliding down. If the coefficient of friction is 0.25, the angle of inclination of the plane is
A) \[36.8{}^\circ \] done
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B) \[45{}^\circ \] done
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C) \[30{}^\circ \] done
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D) \[42.6{}^\circ \] done
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question_answer6) Starting from rest, a body slides down a 45? inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is [CBSE PMT 1990]
A) 0.33 done
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B) 0.25 done
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C) 0.75 done
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D) 0.80 done
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question_answer7) The coefficient of friction between a body and the surface of an inclined plane at 45? is 0.5. If \[g=9.8\,m/{{s}^{2}}\], the acceleration of the body downwards in \[m/{{s}^{2}}\] is [EAMCET 1994]
A) \[\frac{4.9}{\sqrt{2}}\] done
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B) \[4.9\sqrt{2}\] done
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C) \[19.6\sqrt{2}\] done
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D) 4.9 done
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question_answer8) A box is placed on an inclined plane and has to be pushed down. The angle of inclination is [EAMCET 1994]
A) Equal to angle of friction done
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B) More than angle of friction done
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C) Equal to angle of repose done
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D) Less than angle of repose done
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question_answer9) A force of 750 N is applied to a block of mass 102 kg to prevent it from sliding on a plane with an inclination angle 30? with the horizontal. If the coefficients of static friction and kinetic friction between the block and the plane are 0.4 and 0.3 respectively, then the frictional force acting on the block is [SCRA 1994]
A) 750 N done
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B) 500 N done
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C) 345 N done
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D) 250 N done
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question_answer10) A block is lying on an inclined plane which makes 60? with the horizontal. If coefficient of friction between block and plane is 0.25 and \[g=10\,m/{{s}^{2}}\], then acceleration of the block when it moves along the plane will be [RPET 1997]
A) \[2.50\,m/{{s}^{2}}\] done
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B) \[5.00\,m/{{s}^{2}}\] done
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C) \[7.4\,m/{{s}^{2}}\] done
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D) \[8.66\,m/{{s}^{2}}\] done
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question_answer11) A body of mass 100 g is sliding from an inclined plane of inclination 30?. What is the frictional force experienced if \[\mu =1.7\] [BHU 1998]
A) \[1.7\times \sqrt{2}\times \frac{1}{\sqrt{3}}N\] done
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B) \[1.7\times \sqrt{3}\times \frac{1}{2}N\] done
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C) \[1.7\times \sqrt{3}\,N\] done
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D) \[1.7\times \sqrt{2}\times \frac{1}{3}N\] done
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question_answer12) A body takes just twice the time as long to slide down a plane inclined at 30o to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is [JIPMER 1999]
A) \[\frac{\sqrt{3}}{4}\] done
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B) \[\sqrt{3}\] done
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C) \[\frac{4}{3}\] done
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D) \[\frac{3}{4}\] done
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question_answer13) A brick of mass 2 kg begins to slide down on a plane inclined at an angle of 45o with the horizontal. The force of friction will be [CPMT 2000]
A) \[19.6sin{{45}^{o}}\] done
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B) \[19.6\text{ }cos\text{ }{{45}^{o}}\] done
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C) \[9.8sin{{45}^{o}}\] done
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D) \[9.8\text{ }cos\text{ }{{45}^{o}}\] done
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question_answer14) The upper half of an inclined plane of inclination q is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by [Pb. PMT 2000]
A) \[\mu =\sin \theta \] done
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B) \[\mu =cot\theta \] done
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C) \[\mu =2\cos \theta \] done
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D) \[\mu =\text{ }2\text{ }tan\theta \] done
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question_answer15) A body is sliding down an inclined plane having coefficient of friction 0.5. If the normal reaction is twice that of the resultant downward force along the incline, the angle between the inclined plane and the horizontal is [EAMCET (Engg.) 2000]
A) \[{{15}^{o}}\] done
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B) \[{{30}^{o}}\] done
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C) \[{{45}^{o}}\] done
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D) \[{{60}^{o}}\] done
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question_answer16) A body of mass 10 kg is lying on a rough plane inclined at an angle of 30o to the horizontal and the coefficient of friction is 0.5. the minimum force required to pull the body up the plane is [JIPMER 2000]
A) 914 N done
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B) 91.4 N done
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C) 9.14 N done
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D) 0.914 N done
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question_answer17) A block of mass 1 kg slides down on a rough inclined plane of inclination \[{{60}^{o}}\] starting from its top. If the coefficient of kinetic friction is 0.5 and length of the plane is 1 m, then work done against friction is (Take\[g=\text{ }9.8m/{{s}^{2}}\]) [AFMC 2000; KCET 2001]
A) 9.82 J done
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B) 4.94 J done
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C) 2.45J done
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D) 1.96 J done
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question_answer18) A block of mass 10 kg is placed on an inclined plane. When the angle of inclination is 30o, the block just begins to slide down the plane. The force of static friction is [Kerala (Engg.) 2001]
A) 10 kg wt done
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B) 89 kg wt done
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C) 49 kg wt done
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D) 5 kg wt done
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question_answer19) A body of 5 kg weight kept on a rough inclined plane of angle 30o starts sliding with a constant velocity. Then the coefficient of friction is (assume g = 10 m/s2) [JIPMER 2002]
A) \[1/\sqrt{3}\] done
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B) \[2/\sqrt{3}\] done
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C) \[\sqrt{3}\] done
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D) \[2\sqrt{3}\] done
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question_answer20) 300 Joule of work is done in sliding up a 2 kg block on an inclined plane to a height of 10 metres. Taking value of acceleration due to gravity ?g? to be 10 m/s2, work done against friction is [MP PMT 2002]
A) 100 J done
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B) 200 J done
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C) 300 J done
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D) Zero done
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question_answer21) A 2 kg mass starts from rest on an inclined smooth surface with inclination 30o and length 2 m. How much will it travel before coming to rest on a frictional surface with frictional coefficient of 0.25 [UPSEAT 2003]
A) 4 m done
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B) 6 m done
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C) 8 m done
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D) 2 m done
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question_answer22) A block rests on a rough inclined plane making an angle of \[{{30}^{o}}\] with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take \[g=10\,\,m/{{s}^{2}})\] [AIEEE 2004]
A) 2.0 done
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B) 4.0 done
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C) 1.6 done
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D) 2.5 done
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question_answer23) A body takes time t to reach the bottom of an inclined plane of angle q with the horizontal. If the plane is made rough, time taken now is 2t. The coefficient of friction of the rough surface is
A) \[\frac{3}{4}\tan \theta \] done
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B) \[\frac{2}{3}\tan \theta \] done
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C) \[\frac{1}{4}\tan \theta \] done
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D) \[\frac{1}{2}\tan \theta \] done
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question_answer24) A block is kept on an inclined plane of inclination q of length l. The velocity of particle at the bottom of inclined is (the coefficient of friction is m)
A) \[\sqrt{2gl(\mu \cos \theta \sin \theta )}\] done
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B) \[\sqrt{2gl(\sin \theta \mu \cos \theta )}\] done
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C) \[\sqrt{2gl(\sin \theta +\mu \cos \theta )}\] done
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D) \[\sqrt{2gl(\cos \theta +\mu \sin \theta )}\] done
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