A child bounces in a harness suspended from a door frame by three parallel elastic bands. (a) If each elastic band stretches 0.290 m while supporting a 6.95 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 0.290 m? m/s

PROBLEM2: The system shown in Figure 2 has a natural frequency of 5 Hz for the following data: m = 10 kg, Jo = 5 kg - m², r₁ = 10 cm, r₂ = 25 cm. When the system is disturbed by giving it an initial displacement, the amplitude of free vibration is reduced by 80 percent in 10 cycles. Determine the values of k and c. T2 m x(1) Figure 2 0000 k Pulley, mass moment of inertia Jo

The device entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring constant. (a) If the spring stretches 0.250 m while supporting an 8.0-kg child, what is its spring 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?

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A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each elastic band stretches 0.210 m while supporting a 8.75-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 0.210 m? m/s

Hello, here is my question  Consider an object that undergoes simple harmonic motion without frictionbetween x = -A and x = +A. (a) Explain whether the object spends less time, more time, or the same amount of time between x = –A/2 and x = +A/2 as it does for |x| > A/2. (b) Determine the two values of x in terms of A where the kinetic energy of the object is equal to the potential energy of the object. Express the spring constant as k and the mass as m.   Thank you!

m2 m₁ Q8. A small object of mass m₂ = 4 kg is placed on top of another object of mass m1 = 6 kg, and which is connected to a spring with spring constant k = 50 N/m, as shown in the figure. Accessibility: Investigate Styles There is no friction between the larger object and the horizontal surface underneath, and the system is in equilibrium. ////// The system is pushed with an initial speed vo= √10 m/s, and then it continues to move freely. a) Find the amplitude of the oscillations if the two masses are moving together. b) Find the smallest value of the friction coefficient such during the oscillations the smallest object of mass m₂ will not slide on the larger object of mass m₁. c) Find the maximum acceleration and the maximum potential energy of the system containing the two masses. O

A 0.430 kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also horizontal) with a 26.0 N/m force constant that is at its equilibrium length. A 0.0600 kg wad of Play-Doh is thrown horizontally at the block with a speed of 2.60 m/s and sticks to it. Determine the amount in centimeters by which the Play-Doh-block system compresses the spring.

Given DFQ select statememts that are not true

An ornament of mass 41.4 g is attached to a vertical ideal spring with a force constant (spring constant) of 13.6 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch?