The angle (with respect to the vertical) of a simple pendulum is given by theta =...
Suppose that a simple pendulum consists of a small 92 g bob at the end of a cord of negligible mass. If the angle e between the cord and the vertical is given by -(0.086 rad) cos[(7.4 rad/s) t + 4], what are (a) the pendulum's length and (b) its maximum kinetic energy? (a) Number (b) Number Units Units
P4. A clock keeps time using the periodic motion of a simple pendulum. The pendulum consists of a string of length L and a bob of mass m-5.00 kg attached to the end of the string. The pendulum has a period T-1.00 s. The initial angle (0) at 0 is equal to 0.175 rad. The bob is released from rest (i.e. -0) at -0. The angle between the string and the vertical is given by the equation: e-a cos (or...
Suppose that a simple pendulum consists of a small 96 g bob at the end of a cord of negligible mass. If the angle θ between the cord and the vertical is given by θ = (0.098 rad) cos[(7.0 rad/s) t + φ], what are (a) the pendulum's length and (b) its maximum kinetic energy?
1. [1pt] The angle that the string of a long pendulum makes with the vertical is shown as a function of time. What is the angular frequency of the pendulum? Answer: 2. [1pt] What is the amplitude of the pendulum's motion, in meters? theta (degrees) NOTOT 0 1 2 4 5 3 t (s)
The angle that a swinging simple pendulum makes with a vertical obeys the equation where the length of the pendulum is 1.207m. a. what is the vertical distance (in cm) between the pendulum bob's highest and lowest positions? b. what is the pendulums max angular speed and max angular accleration? c. what is the pendulum bob's speed (in m/s) at it's lowest position?
The disk A rotates about the vertical z-axis with a constant speed omega = dot theta = pi / 3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate dot phi = 2pi / 3 rad/s. At time t = 0 both theta = 0 and phi = 0 The angle theta is measured from the fixed reference x-axis. The small sphere P slides out along the rod according to R = 50 + 200t2 where R...
A simple pendulum has a mass of 0.650 kg and a length of 7.00 m. It is displaced through an angle of 9.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.) (a) What is the maximum speed of the bob? WebAssign will check your answer for the correct number of significant figures. m/s (b) What is the maximum angular acceleration of the bob? WebAssign...
The angle of a pendulum is given by θ(t)=( 0.14 rad )cos( 4.0 t) , where t is in seconds. A) Determine the amplitude. B)Determine the frequency. C)Determine the length of the string. D)Determine the angle at 1.0 s .
do (b) and (c) only. 2. For the simple pendulum shown in Figure 2, the nonlinear equations of motion are given by θ(t) + 믈 sin θ(t) + m 0(t)-0 Pivot point L, length Massless rod , mass Figure 2. A simple pendulum 3. Consider again the pendulum of Figure 2 of problem 2 when g = 9.8 m/s, 1 = 4.9m, k =0.3, and (a) Determine whether the system is stable by finding the characteristic equation obtained from setting...
A simple pendulum with mass m = 1.8 kg and length L = 2.77 m hangs from the ceiling. It is pulled back to an small angle of θ = 9° from the vertical and released at t = 0. 1) What is the period of oscillation? Answer= 3.34 s 2) What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? Answer= 2.76 N 3) What is the maximum speed of the pendulum?...