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question_answer1) In the figure at the free end a force F is applied to keep the suspended mass of 18 kg at rest. Find the value of F (in N) -
question_answer2) Blocks A and C start from rest and move to the right with acceleration \[{{a}_{A}}=12t\,m{{s}^{-2}}\] &\[{{a}_{C}}=3m{{s}^{-2}}\]. Here t is in seconds. Find the time when block B again comes to rest (in sec)-
question_answer3) Two monkeys of masses 10 kg and 8 kg are moving along a vertical light rope, the former climbing up with and acceleration of \[2m/{{s}^{2}}\], while the latter coming down with a uniform velocity of 2 m/s. Find tension in the rope at the fixed support (in N).
question_answer4) In the arrangement in figure\[{{m}_{1}}=1kg,\]\[{{m}_{2}}=2kg\]. Pulleys are massless and strings are light. For what value of M the mass \[{{m}_{1}}\]moves with constant velocity (Neglect friction) (in kg)
question_answer5) A bullet of 5 g, travelling at a speed of 100 m/s penetrates a wooden block up to 6.0 cm. Then the average force applied by the bullet on the block is (in N) -
question_answer6) Blocks are in contact on a frictionless table. A horizontal force \[F=3N\] is applied to one block as shown. The force exerted by the smaller block \[{{m}_{2}}\]on block \[{{m}_{1}}\] is (in N) -
question_answer7) Three equal weights A, B, C of mass 2 kg each are hanging on a string passing over a fixed frictionless pulley as shown in the fig. The tension in the string connecting weights B and C is (in N)
question_answer8) In fig, a mass 5 kg slides without friction on an inclined plane making an angle \[30{}^\circ \]with the horizontal. Then the acceleration of this mass when it is moving upwards, the other mass is 10 kg. The pulleys are massless and frictionless. Take\[g=10\,m/{{\sec }^{2}}\].-(Given: \[{{m}_{A}}=5kg,\]\[{{m}_{B}}=10kg\])
question_answer9) One end of massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. With what value of minimum safe acceleration (in\[m{{s}^{-2}}\]) can a man of 60 kg slide down the rope (in\[m/{{s}^{2}}\])?
question_answer10) Two uniform solid cylinders A and B each of mass 1 kg are connected by a spring of constant 200 N \[{{m}^{-1}}\] at their axles and are placed on a fixed wedge as shown in the figure. There is no friction between cylinders and wedge. The angle made by the line AB with the horizontal, in equilibrium, is (in degree)?
question_answer11) Force F is applied on upper pulley. IF F = 30t N where t is time in second. Find the time when \[{{m}_{1}}\]loses contact with floor (in sec).
question_answer12) A ladder is hanging from ceiling as shown in figure. Three men A, B and C of masses 40 kg, 60 kg, and 50 kg are climbing the ladder. Man A is going up with retardation 2\[m/{{s}^{2}}\], C is going up with an acceleration of 1 \[m/{{s}^{2}}\]and man B is going up with a constant speed of 0.5\[m/s\]. The tension in the string supporting the ladder is \[240\times x\]Newton then value of x is \[\left[ g=9.8m/{{s}^{2}} \right]\]
question_answer13) Calculate the relative acceleration of A w.r.t. B if B is moving with acceleration \[{{a}_{0}}=10m.{{s}^{2}}\]towards right.
question_answer14) A body of mass 45 kg. is moving with a constant velocity of 10 m/s. A constant force acts on the body for four second, and the speed of the body becomes 2 m/s in opposite direction, calculate the magnitude of acceleration produced in\[m/{{\sec }^{2}}\].
question_answer15) Two blocks of masses m and 2m are placed on a smooth horizontal table. A string joining these block hangs over the edge supporting a light and frictionless pulley which carries a block of mass 3m. The two portions of the string on the table are parallel and perpendicular to the edge of the table. The parts of the string outside the table are vertical. The acceleration of the block of mass 3m is a then value of\[a\times \frac{17}{3g}\].
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