A mass attached to the end of a string oscillates like a pendulum with small amplitude. The mass has horizontal velocity u₂(t) and vertical velocity vy(t). Which of the following could be a graph of the curve (v (t), vy(t)) over a complete oscillation? vy(t) (A) (D) + vy(t) vy(t) vy(t) (B). (E). vy(t) vy(t) v₂(t) v₂ (t) % (1)
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- Problem 9: An ideal pendulum of length L=1.1 m supports a mass of m =0.5 kg. Initially the pendulum is lifted such that it makes an angle of 0 = 26 degrees with respect to the vertical. m 10in simple pendulum experiment , my doctor gave me this table . he want me to fill the empty values and find the slope ( ΔT2/ΔL ) to calcuate the gravity constant by this formula : g= 4π2/slope . but i could't do it please helpThe relation between gravitational acceleration and period for a 1.0-m long 1 pendulum is , where 7 is the period in seconds and & represents the 2 ng %3D gravitational acceleration in metres per second squared (m/s2). a) The gravitational acceleration at the surface of Earth is about 9.8 m/s2. Find the period of a pendulum 1.0 m long. b) The gravitational acceleration on the moon is approximately of the gravitational 1 acceleration at the surface of Earth. Determine the period of a pendulum 1.0 m long on the moon. c) Captain Mirk and Mr. Spark land on one of seven planets in the Alpha Beta system. Mr. Spark sets up a pendulum 1.0 m long, and Captain Mirk measures its period to be 1.304 s. Use the table to help you determine which planet they are on. Planet Ulu 3.6 Proserpine Wunderland Rutabaga Ada Sirius-Lee Ikona 6.8 13.5 19.7 23.2 31.1 54.0
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- Consider a spring with a spring constant of (12.6 + A) N/m. What mass would you need to hang on the spring to achieve a period of (0.500 + B/100) s? Give your answer in grams (g) with 3 significant figures. A=20 B=78MärkxsfH) Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position.