1) Simple harmonic motion is given with the following equation, x = 5 sin 3t. Determine...

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1) Simple harmonic motion is given with the following equation, x = 5 sin 3t. Determine a) The amplitude of the wave b) The frequency of the wave c) The period of the wave d) Maximum velocity of the wave e) Maximum acceleration of the wave 2) The simple harmonic motion of an object is described by the graph shown in the figure. What is the equation for the position x(t) of the object as a function of time t? (give Brief explanation) 4. 3. x (cm) 2+ 1 -1 2 3 45 6 7 8 9 10 11 12 13 14 15 16 17 t(s) -2- -3 -4- A) x(t)=(4.0 m)sin[(2/8.0 s)t +/3.0] B)x(t) (4.0 m)cos[(2/8.0 s)t + 2/3.0] C) x(t) (4.0 m)cos[(2/8.0 s)t + /3.0] D)x(t) (4.0 m)cos[(2/8.0 s)t - /3.0] = = E) x(t)=(8.0 m)cos[(2/8.0 s)t +/3.0] 3) Which of following graphs describes simple periodic motion with amplitude 2.00 cm and angular frequency 2.00 rad/s? (give brief explanation) A) 2. B) 1- x (cm) x(cm) AAAA A 3 89 (s) 21 120 x (cm) 1 + + 789 t(s) 2 3 5 6 D) x (cm) 2 1 x (cm) 3 6 9 t(s) NA(5) 8 4) A 0.025-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 150 N/m. The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the displacement is x = 0.024 m, what is the kinetic energy of the block? 1) Simple harmonic motion is given with the following equation, x = 5 sin 3t. Determine a) The amplitude of the wave b) The frequency of the wave c) The period of the wave d) Maximum velocity of the wave e) Maximum acceleration of the wave 2) The simple harmonic motion of an object is described by the graph shown in the figure. What is the equation for the position x(t) of the object as a function of time t? (give Brief explanation) 4. 3. x (cm) 2+ 1 -1 2 3 45 6 7 8 9 10 11 12 13 14 15 16 17 t(s) -2- -3 -4- A) x(t)=(4.0 m)sin[(2/8.0 s)t +/3.0] B)x(t) (4.0 m)cos[(2/8.0 s)t + 2/3.0] C) x(t) (4.0 m)cos[(2/8.0 s)t + /3.0] D)x(t) (4.0 m)cos[(2/8.0 s)t - /3.0] = = E) x(t)=(8.0 m)cos[(2/8.0 s)t +/3.0] 3) Which of following graphs describes simple periodic motion with amplitude 2.00 cm and angular frequency 2.00 rad/s? (give brief explanation) A) 2. B) 1- x (cm) x(cm) AAAA A 3 89 (s) 21 120 x (cm) 1 + + 789 t(s) 2 3 5 6 D) x (cm) 2 1 x (cm) 3 6 9 t(s) NA(5) 8 4) A 0.025-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 150 N/m. The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the displacement is x = 0.024 m, what is the kinetic energy of the block?