A string oscillating between two posts exhibits a standing wave pattern with four nodes between the posts. If the tension in the string is decreased by a factor 4 with all else held constant, how many nodes will there be between the posts?
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A string oscillating between two posts exhibits a standing wave pattern with four nodes between the posts. If the tension in the string is decreased by a factor 4 with all else held constant, how many nodes will there be between the posts?
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- Suppose that you start procedure step 6 with an initial string-length, Li = 30 cm, and finish with a final length, Lf cm. In this process of going from Li to Lf , the linear frequency of the pendulum decreases such that we find: (fi − ff ) fi × 100 = 34, where fi is the frequency of the pendulum at Li and ff is its frequency at Lf . What is the value of Lf ?Problem 5: Near the top of the Citigroup Center building in New York City, there is an object with mass of 3.2 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven- the driving force is transferred to the object, which oscillates instead of the entire building. Part (a) What effective force constant should the springs have to make them oscillate with a period of 1.8 s in N/m? Part (b) What energy is stored in the springs for a 2.2 m displacement from equilibrium in J?A pair of hoop earrings is in the form of peace signs and each earring can be made to oscillate with simple harmonic motion about the point where the earring is attached to the hook that goes through the ear lope. The earrings are made of cylindrical silver wire having a density of 10.2 g/cm3 and a diameter of 0.15 cm. Each earring can be thought of as consisting of a ring that is 1.5 cm in diameter, a central vertical rod that is 1.2 cm in length and two diagonal rods, each 0.6cm in length as shown in the diagram above. The distance from the pivot point of the earring to the center of mass of each diagonal rod is 0.975 cm. Based on this information, determine the period of this physical pendulum.
- 1) A2 Kg block is hanging on a frictionless inclined plane attached to a springwith a spring constantk 150 N/m. The spring is massless and it has an un-stretched length of 65 cm. a) If the spring is stretched and set in SHM: i) What is the frequency of the motion? i) What is the period of the motion? b) What is the equilibrium point of the block from the top of the inclined plane? 30°Asap plz...A 96 g particle undergoes SHM with an amplitude of 2.9 mm, a maximum acceleration of magnitude 7.3 x 103 m/s2, and an unknown phase constant φ. What are (a) the period of the motion, (b) the maximum speed of the particle, and (c) the total mechanical energy of the oscillator? What is the magnitude of the force on the particle when the particle is at (d) its maximum displacement and (e) half its maximum displacement?