0.12 kg body undergoes simple harmonic motion of an amplitude of 8.5 cm and period 0.20 s. What is the magnitude of the maximum force acting on it?
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- An object hanging from a vertical spring oscillates with a period of 0.35 s. Suppose the same object and spring are placed on a horizontal frictionless surface and the object is in a horizontal circle swung (uniform circular motion) with the open end of the spring as the pivot. How many rotations per minute is needed to stretch the spring by 15%?The device pictured in the following figure entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring. (a) If the spring stretches 0.250 m while supporting an 8.0-kg child, what is its force constant? (b) What is the time for one complete bounce of this child? (c) What is the child’s maximum velocity if the amplitude of her bounce is 0.200 m?An object oscillating with an amplitude of 3.50 cm reaches a maximum speed of 26.0 cm/s. Find its speed when the displacement is 1.75 cm.
- 券 A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each elastic band stretches 0.200 m while supporting a 5.95-kg child, what is the force constant for each elastic band? N/m (b) What is the time for one complete bounce of this child? (c) What is the child's maximum velocity if the amplitude of her bounce is 0.200 m? m/sAstronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring to her belt and the other end to a hook on the wall of the space capsule. A fellow astronaut then pulls her away from the wall and releases her. The spring's length as a function of time is shown in the figure (Figure 1). Figure L (m) W 1.4 1.2- 1.0 0.8 0.6 0.4 0.2 0.0 T 3 1 of 1 -t (s) What is her mass if the spring constant is 270 N/m ? Express your answer with the appropriate units. m = 62 kg Submit Part B Correct V = What is her speed when the spring's length is 0.70 m ? Express your answer with the appropriate units. 0.81 Previous Answers Submit Provido Foodbook ΠΑ m sec Previous Answers Request Answer ?Ferris Wheel The height h (in feet) above groundof a seat on a Ferris wheel at time t (in seconds) ismodeled byh(t) = 53 + 50 sin(π10t − π2).(a) Find the period of the model. What does the periodtell you about the ride?(b) Find the amplitude of the model. What does theamplitude tell you about the ride?(c) Use a graphing utility to graph one cycle of the model.
- The equations used to describe the physical pendulum will lead us directly to an answer. Part 3 of 3 - Analyze We are givenf = 0.685 Hz, d 0.510 m, and m = 2.10 kg. We have the following equation for the period. T = 2n V mgd This gives 4721 T2 = mgd and, solving for the moment of inertia, we have the following. T?mgd mgd %3D kg )(9.80 m/s?) m Hz kg - m2 Submit Skip (you cannot come back) Need Help? Read it O Show My Work (Optional) ?A 1000 kg car carrying four 80 kg persons is traveling over “washboard" speed bumps spaced at regular intervals. The bumps are located 4 m apart. The car is observed to bounce with maximum amplitude when its speed is 16 km/h. The car now stops and the four people get out. By how much does the car body rise on its suspension owing to the decrease in weight?(a) A device consists of an object with a weight of 35.0 N hanging vertically from a spring with a spring constant of 250 N/m. There is negligible damping of the oscillating system. Applied to the system is a harmonic driving force of 13.0 Hz, which causes the object to oscillate with an amplitude of 3.00 cm. What is the maximum value of the driving force (in N)? (Enter the magnitude.) N (b) What If? The device is altered so that there is a damping coefficient of b = 5.00 N s/m. The hanging weight and spring constant remain the same. The same driving force as found in part (a) is applied with the same frequency. What is the new amplitude (in cm) of oscillation? cm (c) What If? Repeat the same calculation as part (b), only now with a damping coefficient of b = 100 N s/m. (Enter the answer in cm.) cm