A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling pumpkins and pianos. A simple trebuchet is shown in the figure below. Model it as a stiff rod of negligible mass 3.00 m long and joining particles of mass m, 0.120 kg and m, 63.0 kg at its ends. It can turn on a frictionless horizontal axle perpendicular to the rod and 12.5 cm from the particle of larger mass. The rod is released from rest in a horizontal orientation, Find the maximum speed that the object of smaller mass attains when it leaves the trebuchet horizontally. mys Need Help? 300 m

A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling pumpkins and pianos. A simple trebuchet is shown in the figure below. Model it as a stiff rod of negligible mass 3.00 m long and joining particles of mass m, 0.120 kg and m, 63.0 kg at its ends. It can turn on a frictionless horizontal axle perpendicular to the rod and 12.5 cm from the particle of larger mass. The rod is released from rest in a horizontal orientation, Find the maximum speed that the object of smaller mass attains when it leaves the trebuchet horizontally. mys Need Help? 300 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)...

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A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling pumpkins and pianos. A simple trebuchet is shown in the figure below. Model it as a stiff rod of negligible mass 3.00 m long and joining particles of mass m₁ = 0.120 kg and m₂ = 55.0 kg at its ends. It can turn on a frictionless horizontal axle perpendicular to the rod and 15.5 cm from the particle of larger mass. The rod is released from rest in a horizontal orientation. Find the maximum speed that the object of smaller mass attains when it leaves the trebuchet horizontally. m/s m₂ Need Help? Read It 3.00 m m₂ e
An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in figure. The flywheel is a solid disk with a mass of 80.0 kg and a radius R=0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of r=0.230 m. The tension T u in the upper ( taut ) segment of the belt is 135 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s 2 . Find the tension in the lower (slack ) segment of the belt.
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.368 m and mass 5.46 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0588 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? 0.267 %3D Enter numeric value
You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules), taking into account both the translational and rotational motion?
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.368 m and mass 5.27 kg, and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
The figure shows three 0.0146 kg particles that have been glued to a rod of length L-5.58 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number (b) Number Axis Units Units 0 m m m |a+d+d+
A mass (M = 5.0 kg) is connected to a two pulley system. Pulley 1 has a moment of inertia, I = 0.5 kgm2, and a radius, R = 0.2 m. Pulley 2 has moment of inertia, I = 0.3 kgm2, and a radius, R = 0.15 m. The cord is spooled around pulley 2. The pulleys rotate about frictionless axles and the cord can be considered massless. (i) Determine the magnitude of the acceleration of m (ii) Determine the magnitude of the tension in the string attached to m (iii) Determine the magnitude of the tension between the pulleys.
The figure shows three 0.0105 kg particles that have been glued to a rod of length L=6.30 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis m (a) Number i Units (b) Number i Units
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 5.65 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 6910 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd = m
The figure shows three 0.0103 kg particles that have been glued to a rod of length L=5.91 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? L Axis m -d--d- (a) Number i Units (b) Number i Units
A merry-go-round modeled as a disk of mass M = 7.50 x 10- kg and radius R = 2.10 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 82.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.05 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.470 m from the center. 5.88 rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. 2073.05 (c) Find the work done on the student as she walks to r = 0.470 m. -2073.05 Your response differs from the correct answer by more than 100%. J
The figure shows three 0.0114 kg particles that have been glued to a rod of length L= 5.70 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis m m (a) Number i Units (b) Number i Units >