A thin rod of length 0.75 m and mass 0.40 kg is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 4.5 rad/s. Neglect friction and air resistance. (a) Find the rod's kinetic energy at its lowest position. J (b) Find how far above that position the center of mass rises. m

A thin rod of length 0.75 m and mass 0.40 kg is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 4.5 rad/s. Neglect friction and air resistance. (a) Find the rod's kinetic energy at its lowest position. J (b) Find how far above that position the center of mass rises. m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 5.2-kg bowling ball is attached to a weightless rod with dimensions shown below. The other end is attached to a rusty hinge so that it can swing like a pendulum. The ball is released when the rod is horizontal and the ball swings down and then up to a certain angle on the other side. During the swing, the rusty hinge steals 80% of the ball's initial potential energy. Find the maximum angle 0 of the rod from the vertical. 2.30 m-
Current Attempt in Progress To make a pendulum, a 370 g ball is attached to one end of a string that has a length of 1.2 m and negligible mass. (The other end of the string is fixed.) The ball is pulled to one side until the string makes an angle of 41° with the vertical; then (with the string taut) the ball is released from rest. Find (a) the speed of the ball when the string makes an angle of 26° with the vertical and (b) the maximum speed of the ball. (c) What is the angle between the string and the vertical when the speed of the ball is one-third its maximum value? (a) Number (b) Number i (c) Number i Units Units Units
A regular baby swing with a length of 10m and a mass of 10kg, one end of which touches the ground and makes with it an angle of 30ْ (see the figure below). The axis is located at a height of 6.0m. How much force must be exerted perpendicular to the swing at the end of the bowl until the swing almost begins to rotate
The figure below shows a ball with mass m = 0.330 kg attached to the end of a thin rod with length L = 0.495 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically up position, with zero speed there. How much work is done on the ball by the gravitational force from the initial point to the following points? (a) the lowest point J (b) the highest point J (c) the point on the right level with the initial point J
A lump of putty (0.20 kg) hits a block (1.00 kg) at the bottom of a rough vertical loop that is 1.0 m in radius. After the collision, the putty/block combination slides through the loop. At the top of the loop, the combination has an apparent weight of 5.88 N. The coefficients of kinetic & static friction between the block and loop are 0.23 & 0.37 respectively and the work due to friction during the combination’s ascent is -17.34 J. Determine the speed of the putty/block combination at the top of the loop. Determine the speed of the combination at the bottom of the loop. Assuming that friction is much less than impact force, what was the speed the putty before the collision?
A person is making homemade ice cream. She exerts a force of magnitude 21 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.30 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.5 s, what is the average power being expended?
A ladder 2.00 m long, weighing 234 N, initially lies flat on the ground The ladder is raised to a vertical position Compute the work done by the force lifting the ladder. The ladder's center of gravity is at it geometric center?
#8
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)
A spring with spring constant k and equilibrium length zero is attached tothe top of a frictionless hoop of radius R. The spring is stretched and connected to a bead of mass m at the bottom of the hoop. At t = 0 the bead is given an initial speed v0 and the bead moves up the hoop. Find the speed of the bead as a function of position on hoop v(θ).
To form a pendulum, a 0.092 kg ball is attached to one end of a rod of length 0.62 m and negligible mass, and the other end of the rod is mounted on a pivot. The rod is rotated until it is straight up, and then it is released from rest so that it swings down around the pivot. When the ball reaches its lowest point, what are (a) its speed and (b) the tension in the rod? Next, the rod is rotated until it is horizontal, and then it is again released from rest. (c) At what angle from the vertical does the tension in the rod equal the weight of the ball? (d) If the mass of the ball is increased, does the answer to (c) increase, decrease, or remain the same?
A 0.50 kg mass can slide along the frictioneless loop the loop with loop radius R = 12 cm. The block is released from rest at point P, at height h=7R above the bottom of the loop. How much work is exerted on the block by the gravitational force as it travels from P to Q? Use g = 10 N/kg.