Problem 1
A particle executing simple harmonic motion of amplitude \(5 \mathrm{~cm}\) has a speed of 8 cm/sec when at a distance of \(3 \mathrm{~cm}\) from the centre of the path. The period of the motion of the particle will be (a) \(\pi / 2\) sec (b) \(\pi\) sec (c) \(2 \pi\) sec (c) \(4 \pi\) eee.
Problem 3
The periodic time of the motion deseribed by the differential equation \(\frac{d^{2} x}{d t^{2}}+4 x=0\) is (a) \(n / 2\) (b) \(\mathrm{F}\) (c) \(2 \pi\).
Problem 6
A particle is projected at an angle of \(30^{\circ}\) to the horizontal with a velocity of \(1962 \mathrm{em} / \mathrm{sec}\) then the time of fight is (a) 1 see (b) 2 sec (c) \(2.5\) sec (d) 3 aec.
Problem 7
A point moves with S.H.M. whose period is 4 seconds. If it atarte from rest at a distance of 4 meters from the centre of its path, then the time it takes, before it has demcribed 2 metres is (a) \(\frac{1}{3}\) second (b) \(\frac{2}{3}\) second (c) \(\frac{3}{4}\) second (d) \(\frac{4}{5}\) second
