9) A ball of mass m is attached to the ceiling via a string of length L. The ball is given a push to set it in motion. The ball then travels in a horizontal circle, such that the string makes and angle 0 with the vertical. It is observed that it takes time T for the ball to make one complete revolution. How can this experiment be used to measure the magnitude of the gravitational acceleration g. problem 9...
A tether ball is attached to a swivel in the ceiling by a light cord of length L. When the ball is hit by a paddle, it swings in a horizontal circle with constant speed v, and the cord makes a constant angle beta with the vertical direction. The ball goes through one revolution in time T. Assume that T, the mass m, and the length L of rope are known, derive algebraic expression for the tension FT in the...
Exercise 4: A small ball of mass m, is attached to the end of string of length L and negligible mass. The other end of string is attached to a pivot located on a ceiling. The system forms a simple pendulum. Analyze the torques on the ball about the pivot on the ceiling when the ball makes an angle with respect to the vertical. Sketch Coordinate system e-FBD of m Newton's and law analysis
Q2) A simple pendulum consists of a ball of mass 4.0 kg attached to the ceiling by a very light wire 3 of length 2.0 m. Att from rest. 0s, the pendulum is displaced to the right by an angle of 8 and released a) What is the period of oscillation? rn b) What is the magnitude of the force on the ball tangential or perpendicular) to the string at t os c) What is the maximum speed of the...
A ball moves in a vertical circle attached to a light string of length 0.3 m fixed at its center. Assume that the only force acting on the ball are its weight and the tension of the string. Determine the minimum speed the ball must have, when the string makes a 90 degree angle with the vertical, so as to complete the circle by reaching the top.
20> A 5.15 kg ball is attached to the top of a vertical pole with a 2.29 m length of massless string. The ball is struck, causing it to revolve around the pole at a speed of 4.41 m/s in a horizontal circle with the string remaining taut. Calculate the angle, between 0° and 90°, that the string makes with the pole. Take g 9.81 m/s2. angle: What is the tension of the string? tension: N
(a)A ball is attached to a thread of length L = 16.8 cm
and suspended from the ceiling, as shown in the figure. A uniform
electric field points to the right in the figure. Whenθ = 15.5°,the ball is in equilibrium. Find the net charge on the ball (in
µC).A ball is attached to a thread of length Land suspended
from the ceiling. The thread makes an angle θ with the
normal line from the ceiling, such that the thread...
A 5.73 kg ball is attached to the top of a vertical pole with a 2.01 m length of massless string. The ball is struck, causing it to revolve around the pole at a speed of 4.63 m/s in a horizontal circle with the string remaining taut. Calculate the angle, between 0° and 90°, that the string makes with the pole. Take g 9.81 m/s?. angle: What is the tension of the string? tension N
Consider a mass m which is attached to the origin by a rope of length R, and is free to swing under the influence of gravity. In other words, it is constrained to be on the inside surface of a frictionless sphere of radius R. Find the equations of motion, denoting θ as the angle that the rope makes with the vertical (θ = 0 is straight down) and φ as the normal angle in the xy plane.
1. A ball of mass m = 1.0 kg is suspended from the ceiling by a massless string of length L = 1.5 m. It is pulled to one side and started moving in a horizontal circular path, where it makes one revolution every 2 seconds. a) What is the angle that it makes with the vertical? b) What is the tension in the string? (30 points)