
Exercise 4: A small ball of mass m, is attached to the end of string of...
A small ball of mass ? is attached to the bottom end a light string of length ?, while the top of the string is fixed to the ceiling. If the ball is moving in a horizontal circle of radius ?, derive an expression for the angular speed ? of the ball in terms of only ?, ?, ? and ?. Such a system is called a conical pendulum.
A bob of mass 0.320 kg is attached to one end of a light inextensible string of length 0.600 m, whose other end is attached to a fixed pivot. The bob performs uniform circular motion in a horizontal plane, with the string making an angle of 30.0° with the vertical. What is the angular speed of this circular motion? Give your answer in raduans. (Hint: you can begin by using Newton's second law in the vertical direction to find the...
A 1.2 kg mass in placed on the end of a 1.4 m string. One end of the string is fixed, creating a simple pendulum. The mass is pulled to the side so that the string makes an angle of 8◦ with respect to the vertical and released from point A at t = 0. (a) What is the angular frequency of the system? (b) What is the mechanical energy of the pendulum? (c) What is the maximum linear speed...
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...
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...
9. A ball of mass m- 30 g that is attached to the ceiling by a light string is swinging around in a circle in the xy-plane, as shown. The string makes an angle θ-30° with the vertical. The length of the string is r- 40 cm. What is the magnitude of the torque on the ball about the fixed end of the string due to gravity? a) 0.0402 mN b) 0.0588 m N c) 0.0633 m N 0.0675 mN...
A simple pendulum consists of a small object of mass 2.6 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 6.0° angle with the vertical. N · m (b) Does the torque increase or decrease as the angle increase? increase decrease
A simple pendulum is made from a 0.625 m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
just question 3a 3b
Simple harmonic motion: pendulums Equipment Pendulum bobs String and support Meter stick & mass balance Photogate & Smart Timer Preliminary question 1. Describe simple harmonic motion in your own words. 2. Describe how mechanical energy is conserved during a pendulum's swing. 3. You have a 30.0 g pendulum bob attached to a string that is 50.0 cm long. You raise the bob so that the string makes a 20.0° angle with the vertical (as shown) and...
A simple pendulum is made from a 0.602-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?