8. A mass on a spring oscillates along a vertical line, taking 12 s to complete 10 oscillations. a. Calculate (i) its period (ii) its angular frequency b. Its height above the floor varies from a minimum of 1.00 m to a maximum of 1.40 m. Calculate (i) its amplitude (ii) its maximum velocity (iii) its acceleration when it is at its lowest position.
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- 3. A 200g air glider is set up to move with almost no friction on a track. It has springs attached to both ends which give the system a combined spring constant of 30 N/m. At time t = 0, the glider has a velocity of 1.5 m/s 2 and is located at the equilibrium position. For this system, find the amplitude, period, angular frequency, and total energy, and write an equation of motion for the system.1. A pendulum with mass 2kg, length 2.5m swings with amplitude A = 2cm. After a long time the amplitude decreases to 1 cm due to air drag. How long is the period after the amplitude decrease? 2. What is the period of oscillation of the pendulum before and after the amplitude change?2. The length of a simple pendulum is 65.0 cm, and it is released at an angle 6° to the vertical. Calculate а) the period of the oscillation and [ans: 1.62 s] b) the pendulum's bob speed and acceleration when it passes through the lowest point of the swing. [ans: v = 0.26 ms', a = 0 m s²]
- 6. A body is oscillating with simple harmonic motion, with an angular frequency of g rad/s. At time t = 6s, the position of the body is x = 0.40m, and its velocity is v= -0.25m/s. (a) Find the amplitude of the motion. (b) Determine the phase of the motion, (c) What is the position of the body at t = 10.0s?A mass-spring system oscillates with an amplitude of 4.00 cm. If the spring constant is 241 N/m and the mass is 472 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration.3. A 20 g block is attached to a spring and oscillates at 2.0 Hz. At one instant, the block is at x = 5.0 cm and has a velocity v = -30 cm/s Find the amplitude and the period of the motion.
- CL ANO A pendulum with a length of 1.00 m is released from an initial angle of 14.0°. After 1 000 s, its amplitude has been reduced by friction to 6.50°. What is the value of b/2m? Need Help? Watch ItA given mass and spring system oscillates with an amplitude A and a period T. When the amplitude is doubled, when then happens to the period? Be specific 4x, 2x, the same, ½ x, ¼ x, etc Explain8. A pendulum with a length of 1.00 m is released from an initial angle of 15.0°. After 1 000 s, its amplitude has been reduced by friction to 5.50°. What is the value of b/2m?
- 3. The MacKay Bridge over Halifax Harbour is designed to sway in high wind conditions to help absorb shock. If you were to measure the sway of the bridge in an 80 km/hr wind, you would find the following results: At t = Os, the sway = +45 cm (45 cm right) At t = 14s, the sway = -45 cm (45 cm left) a) What is the period of the swaying bridge? The amplitude? b) What is the equation of the sinusoidal axis? c) Construct a table of values and graph demonstrating one full cycle of motion. d) Suppose dampers were added to reduce the sway (but not period) by 50%. Construct a new table of values and graph to demonstrate one full cycle.N10T.1 If you double the amplitude of a harmonic oscilla- tor, the oscillator's period A. Decreases by a factor of 2. B. Decreases by a factor of /2. C. Does not change. D.Increases by a factor of /2. E. Increases by a factor of 2. Changes by some other factor (specify). F.3) an air track glider attached to a spring oscillates AP between the 8.00cm mark and the 57.0cm mark A On Din 29.0S, the track. The glider completes 8.00 oscillations Please include units! What is the period of oscillations? What is the frequency of oscillations? What is the angular frequency of oscillations? What is the amplitude? What is the maximum speed of the glide A no alero no ider? m bao da to