Q9. A vertical spring stretches 3.9 cm when a 10-g object is hung from it. The object is replaced with a block of mass 25 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
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- 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.The max displacement from the equilibrium of any oscillator can be doubled by doubling? a. Only the initial speed b. Only the initial displacement C. The initial displacement and the initial speed d. Halving the initial speed while doubling the initial displacement.5) A 750 gr block is fastened to a spring with a spring constant of 145 N/m and then pulled 25 cm and released on a horizontal frictionless surface. a) What is the frequency of the motion? b) What is the Period of the motion? c) What is the angular frequency? d) What is the Amplitude? e) Write an equation of the Position as a function of time. f) Write an equation of the Velocity as a function of time. g) Write an equation of the Acceleration as a function of time. h) What is the maximum velocity? i) What is the maximum acceleration?
- A 4.0-kg block executes simple harmonic motion according to the following equation for the position as a function of time: x(t) = (0.60 m)cos(5t) What is the mechanical energy of the oscillator? a. 18 J b. 22 J c. 20 J d. 16 J e. 14 J5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz. W -3-2-1 0 1 2 3 + d b. At time t = 0, the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.Q9
- Pr2. A mathematical pendulum swings with angular amplitude a (a « 1), its period is T. By what factor does the period of the pendu- lum change if it is suddenly surrounded by two perfectly elastic walls (see figure)? The walls are arranged symmetrically, their angular distance is a. 12aQ2.A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its perimeter. The ring is pulled out such that its centre of mass makes a small initial angle ?0 = 0.2 rad from the vertical and released from rest. (C) Calculate the angular frequency of the oscillation of the ring (D) Calculate the period of the oscillation of the ring