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question_answer1) A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction is 10 s. Find the coefficient of friction
question_answer2) The system shown in figure is just on the verge of slipping. Find the coefficient of static friction between the block and table top.
question_answer3) A block of mass m = 10 kg is to be pulled on a horizontal rough surface with the minimum force. The block should be pulled at an angle \[\theta \] (in degree)
question_answer4) Two blocks A and B of masses 6 kg and 3 kg rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between A and B is 0.4, the maximum horizontal force (in N) which can make them without separation is?
question_answer5) A block of mass 1 kg lies on a horizontal surface in a truck. The coefficient of static friction between the block and the surface is 0.6 if the acceleration of the truck is 5 \[m/{{s}^{2}}\] the frictional force (in N) acting on the block is?
question_answer6) A 15 kg mass is accelerated from rest with a force of 100 N. As it moves faster, friction and air resistance create an appositively directed retarding force given by \[{{F}_{R}}=A+{{B}_{V}}\], where A = 25 N and B = 0.5 N/m/s. At what velocity (in m/s) does the acceleration equal to one half of the initial acceleration?
question_answer7) A stationary body of mass m is slowly lowered onto a massive platform of mass M (M>>m) moving at a speed \[{{V}_{0}}=4{m}/{s}\;\] as shown in fig. How far (in m) will the body slide along the platform? \[\left( \mu =0.2\,and\,g=10{m}/{{{s}^{2}}}\; \right)\]
question_answer8) A block of mass 1 kg is horizontally thrown with a velocity of 10 m/s on a stationary long plank of mass 2 kg whose surface has\[\mu =0.5\]. Plank rests on frictionless surface. The time when block comes to rest w.r.t. plank. \[\frac{a}{3}\]sec. then value of a is.
question_answer9) The friction coefficient between the board and the floor shown in figure is\[\mu \]. Find the maximum force (in N) that the man can exert on the rope so that the board does not slip on the floor. \[\left( \mu =0.2,m=1kg,M=2kg \right)\]
question_answer10) Two blocks, \[{{m}_{1}}=2kg\] and \[{{m}_{2}}=4kg\], are connected with a light string that runs over a frictionless peg to a hanging block with a mass M as shown in figure. The coefficient of sliding friction between block \[{{m}_{2}}\]and the horizontal surface is\[\mu k=0.2\]. The coefficient of static friction between the two blocks is\[\mu s=0.4\]. What is the maximum mass M for the hanging block if the block \[{{m}_{1}}\]is not to slip on block \[{{m}_{2}}\]is sliding over the surface?
question_answer11) In the figure, the blocks A, B and C weigh 3 kg, 4 kg and 8 kg respectively. The coefficient of sliding friction between any two surfaces is 0.25. A is held at rest by a massless rigid rod fixed to the wall, while B and C are connected by a light flexible cord passing around a fixed frictionless pulley. Find the force P (in N) necessary to drag C along the horizontal surface to the left at a constant speed. Assume that the arrangement shown in the diagram, B on C and A on B is maintained all throughout.
question_answer12) In the figure, what should be mass m so that block A slides up wit a constant velocity?
question_answer13) A thin rod of length 1 m is fixed in a vertical position inside a train, which is moving horizontally with constant acceleration\[4m/{{s}^{2}}\]. A bead can slide on the rod, and friction coefficient between them is\[\frac{1}{2}\]. If the bead is released from rest at the top of the rod. The time when it will reach at the bottom. \[\left[ g=10m/{{s}^{2}} \right]\]is t, then value of\[\frac{1}{t}\].
question_answer14) A block of mass m lies on wedge of mass M as shown in figure. Find the minimum friction coefficient required between wedge M and ground so that it does not move while block m slips down on it is \[\frac{1}{a}\] \[\left( M=2m,\theta =45{}^\circ \right)\] then the value of a is.
question_answer15) Block M slides down on frictionless incline as shown. The minimum friction coefficient so that m does not slide with respect to M is \[\mu \]then value of\[\mu \times \frac{8}{3}\].
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