Suppose that a simple pendulum consists of a small 79 g bob at the end of a cord of negligible mass. If the angle 0 between the cord and the vertical is given by 0 = (0.041 rad) cos[(5.9 rad/s) t+ p], what are (a) the pendulum's length and (b) its maximum kinetic energy? (a) Number i Units (b) Number i Units

A conical pendulum is a heavy ball suspended at the end of the thin wire of negligible mass. The wire makes a constant angle of 22 degrees with the vertical as the ball completes one revolution of a horizontal circle in 2.6 seconds. Fing the length of the wire.

A simple pendulum, consisting of a mass of 2.0 kg, is attached to the end of string with unknown length. The mass is held out horizontally, and then released from rest. What must be the length of the string (m) if the speed of the mass at the bottom of the swing is 3.3 m/s?

Solve it?

A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, O'max, is:

A hoop of radius Rμ and mass mч and a solid cylinder of radius Rc and mass mc are released simultaneously at the top of a plane ramp of length L inclined at angle 0 above the horizontal plane. Which reaches the bottom of the plane first, and what is the speed of each? (solid cylinder)

3. A uniform disk of mass M and radius R compressed a spring (with spring constant k) a distance of xo from equilibrium. The spring is released and the disk begins to roll smoothly (there is no friction between the spring and the disk) up a ramp, as seen in (I) of the figure below. (1) M, R (II) Max Height, H ++ k ¦¦M,R H }/ (a) What is the speed of the disk after it is released from the spring? (b) What is the maximum height, H, reached by the disk? Imagine now, as seen in (II), that the disk is reset to its initial position and the ramp is replaced with one that abruptly ends after a vertical height of H/2, where H is what you found in (b), and guides any rolling on it straight up. (c) The disk is once again released from the spring. What is the new maximum height it reaches (in mid-air)?

Subject: ph

A simple pendulum acts as a conical pendulum when the mass moves in a horizontal circle. (a) What force keeps it moving in a circle? Please explain. (b) Assume pendulum is moving in a circular motion with a constant speed of 10m/s. Calculate the angle formed between the pendulum with the vertical direction if its mass is 2.0 kg, and it describes a circle with radius of around 10 cm. (c) Compute the work done by centripetal force.