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A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s–1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time. If answer to part (i) is yes, what will
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A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4cm below the point, where it was held in hand.
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A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4cm below the point, where it was held in hand.
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A cylindrical log of wood of height h and area of cross-section A floats in water. It is pressed and then released. Show that the log would execute S.H.M. with a time period. `T=2 πsqrt(m/(A ρg))` where m is mass of the body and ρ is density of the
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One end of a V-tube containing mercury is connected to a suction pump and the other end to atmosphere. The two arms of the tube are inclined to horizontal at an angle of 45° each. A small pressure difference is created between two columns when the suction pump is removed. Will the column of mercury in V-tube execute simple harmonic motion? Neglect capillary and viscous forces.Find the time period of
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A tunnel is dug through the centre of the Earth. Show that a body of mass ‘m’ when dropped from rest from one end of the tunnel will execute simple harmonic
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A simple pendulum of time period 1s and length l is hung from a fixed support at O, such that the bob is at a distance H vertically above A on the ground (Fig. ). The amplitude is o θ . The string snaps at` θ = θ_ 0 /2`. Find the time taken by the bob to hit the ground. Also find distance from A where bob hits the ground. Assume θ 0 to be small so that ` sinθ_0 and cos θ_0 =1`
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Show that simple harmonic motion is the projection of uniform circular motion.
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Write position equation of SHM for particle moving on x axis.
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Write the max value of y = sin x y = cos x y = 2sin x y = 2sin 2x
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Draw graphs of y = sin x y = cos x y = 2sin x y = 2sin 2x
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What are the properties of SHM?
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What is force law of SHM?
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Every oscillatory motion is SHM?
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Every oscillatory motion is periodic
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What is SHM?
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What is oscillatory motion? Give one example.
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What is periodic motion?
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