A particle moves in a circular path of radius r, in half of its period. Its displacement and distance covered are,
A stone of mass 250 gram, attached at the end of a string of length 1.25 m is whirled in a horizontal circle at a speed of 5 m/s. What is the tension in the string? |
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A motor cyclist loops a vertical circular loop of diameter 18 m, without dropping down, even at the highest point of the loop. What should be his minimum speed at the lowest point of the loop? |
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A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the outer end is |
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A weightless thread can bear tension upto 3.7 kg weight. A stone of mass 500 gram is tied at its one end and revolved in a vertical circular path of radius 4 m. If g = 10 m/s2, then the maximum angular velocity of the stone is (radians/sec) will be |
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A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first two seconds, it rotates through θ1 and in next two seconds, it rotates through θ2. What is the ratio θ2 / θ1? |
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What is the smallest radius of a curve on a horizontal road, at which a cyclist can travel if his speed is 36 km/hour and the angle of inclination is 45°? (g = 10 m/s2) |
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A car moving on a horizontal road may be thrown out of the road is taking a turn |
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A wheel rotates with a constant angular velocity of 600 r.p.m. What is the angle through which the wheel rotates in one second? |
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An aeroplane is taking a turn in a horizontal plane |
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An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 r.p.m., then the acceleration of a point on the tip of the blade is (take $π$2 = 10) |
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