A 0.1 kg object oscillates as a simple harmonic motion along the ? −axis with a frequency ? = 3.185 Hz. At a position ?1 , the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, ?, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m

1) A 0.1 kg object oscillates as a simple harmonic motion along the ? −axis with a frequency ? = 3.185 Hz. At a position ?1 , the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, ?, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m 2) A block of mass m is attached to a spring with force constant, ? and oscillate at a frequency ?. If the mass is changed to ?′ = ?/2, and the spring force is changed to ? ′ = 2?, then the new frequency ?′ of the oscillation would be, (a) ?′ = 2? (b)?′ = ? (c) ? ′ = ?/2 (d)?′ = 4? The following given is for questions 3 and 4: A block of mass ? = ? kg is attached to a spring with spring constant ? = ??? N/m, and set to oscillates on a frictionless horizontal surface. At time ? = ? its position is ?? = ? and its velocity is ?? = +? m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant,  : (a)A = 0.5,   2 (b)A = 0.5,     2 (c) A = 0.25,   2 (d)A = 0.25,     2 4) When the block’s velocity has the value ? = ?max /2, then its position has the possible values of: (a) ? = ±(3/4)? (b)? = ±?/2 (c) ? = ± 3/2 ? (d)? = ± 2/2 ? 5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table. Its displacement varies with time according to ?(?) = 0.2 cos 2? − ?/4 . The earliest time the particle reaches position ? = 0.1 m is ? ? = 7? 24 s ? ? = ? 24 s ? ? = 47? 24 s ? ? = 7? 12