A pendulum swinging in a circular arc under the influence of gravity, as shown in the figure, has both centripetal and tangential components of acceleration. length of pendulum is 0.75 m
a) If the pendulum bob has a speed of 2.7 m/s when the cord makes an angle of θ = 17 with the vertical, what are the magnitudes of the components at this time? Express your answers using two significant figures separated by a comma.
b) Where is the centripetal acceleration a maximum?
c) What is the value of the tangential acceleration at that location?
A pendulum swinging in a circular arc under the influence of gravity, as shown in the...
A pendulum is 0.864 m long and the bob has a mass of 1.04 kg. When the string makes an angle of θ= 14.8 degrees with the vertical, the bob is moving at 1.44 m/s. Find the tangential and radial acceleration components and the tension in the string. (Hint: Draw an FBD for the bob. Choose the x-axis to be tangential to the motion of the bob and the y-axis to be radial. Apply Newton's second law.) at = ______...
Consider a conical pendulum with a bob of mass m = 78.0 kg on a string of length L = 10.0 m that makes an angle of θ = 7.00° with the vertical. (Consider +î to be towards the center of the circular path and +ĵ to be upward.) (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. (b) Determine the radial acceleration of the bob.
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging side-to-side about a frictionless pivot P at its edge (a) What is the disk's moment of inertia about the pivot? (b) Write an expression for the net torque acting on the disk about the pivot when the disk is displaced to the right by angle θ CM (c) Write Newton's 2nd Law for Rotation for the disk when it is displaced as shown. Be...
Consider a conical pendulum with a bob of mass m = 75.0 kg on a string of length L = 10.0 m that makes an angle of 0 = 7.00° with the vertical. (Consider +î to be towards the center of the circular path and +ġ to be upward.) m (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum.
I need help for part 2 please
1) A pendulum bob of mass m is attached to an ideal string of length L. The other end of the string is attached to a rigid hook. The bob is lifted along a circular are of radius L until it and the string makes an angle with the vertical, as shown. The bob is then released from rest. a) Prediction: If the magnitude of the tension in the string is measured to...
The motion of a pendulum bob with mass m is governed by the equation mL0" (t) + mg sin θ (t)-0 where L is the length of the pendulum arm, g 3 and θ is the angle (in radians) between the pendulum arm and the vertical. Suppose L 16 ft and the bob is set in motion with (0 1 and 0' (0)--3. Find the second degree Taylor polynomial P2(t) that approximates the angular position θ(t) of the bob near...
A simple pendulum with mass m = 2.3 kg and length L = 2.62 m
hangs from the ceiling. It is pulled back to an small angle of θ =
9.2° from the vertical and released at t = 0. 1) What is the period
of oscillation?
2) What is the magnitude of the force on the pendulum bob
perpendicular to the string at t=0?
3) What is the maximum speed of the pendulum?
4) What is the angular displacement...
A simple pendulum with mass m = 2.1 kg and length L = 2.79 m hangs from the ceiling. It is pulled back to a small angle of θ = 11.5° from the vertical and released at t = 0. 1) What is the period of oscillation? 2) What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? 3) What is the maximum speed of the pendulum? 4) What is the angular displacement...
A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.71 m. With the string hanging vertically, the object is given an initial velocity of 1.6 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle θ with its initial vertical orientation and then swings...
A bob of mass m is suspended from a fixed point with a massless string of length L (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle θ. 1. What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle θ from the vertical? Express your answer in terms of some or all of the variables...