The angle (with respect to the vertical) of a simple pendulum is given by e = 0mcos[(5.74 rad/s)t + p]. If at t = 0, 0 = 0.0600 rad and de/dt = -0.140 rad/s, what are (a) the phase constant p and (b) the maximum angle em? (Hint: Don't confuse the rate de/dt at which 0 changes with the w of the SHM.) Pivot point L. Is= Le F.cose Fg sine (a) (a) Number Unit (b) Number Unit

Consider a pendulum whose length is 50 ft. What is the formula for the period of oscillation for a pendulum? (Use the following as necessary: L for the length of the pendulum and g for the acceleration of gravity. Do not substitute numerical values; use variables only.) T = 2π₁ X Determine the period in s. 7.8 ✔ S g What is the formula that shows the relationship between the natural frequency and the period of oscillation? (Use the following as necessary: T. Do not substitute numerical values; use variables only.) f = t X Determine the natural frequency in Hz. 0.128 ✔ Hz

In the figure below, the pendulum consists of a uniform disk with radius r = 34 cm and mass 520 g attached to a uniform rod with length L = 352 mm and mass 207 g. Calculate the period (in seconds) of oscillation. Final answer in four decimal places.

The oscillatory movement of a simple pendulum is a characteristic of the regular repetition of displacements around an equilibrium position. The pendulum swings due to the restored force of gravity, which seeks to bring the mass back to the equilibrium point. The oscillatory behavior is described by a trigonometric solution, which relates the pendulum's position to time, considering its amplitude, frequency and initial phase. Statement: A simple pendulum moves according to the following question:y(t) = A.sin(ωt + φ)In this question, y(t) is the horizontal position of the pendulum, A is its amplitude, ω is its angular velocity, given by ω = 2πf, and φ is the initial phase of the movement, in radians. Since the initial phase of the movement is equal to 0 and its angular velocity is π/2 rad/s, the oscillation frequency of this pendulum is correctly given by the alternative: a) 2.0Hz b) 1.5Hz c) 1.0Hz d) 0.5Hz e) 0.25Hz