A device consists of eight balls each of mass 0.7 kg attached to the ends of low-mass spokes of length 1.4 m, so the radius of rotation of the balls is 0.7 m. The device is mounted in the vertical plane. The axle is held up by supports that are not shown, and the wheel is free to rotate on the nearly frictionless axle. A lump of clay with mass 0.35 kg falls and sticks to one of the balls at the location shown, when the spoke attached to that ball is at 45 degrees to the horizontal. Just before the impact the clay has a speed 5 m/s, and the wheel is rotating counterclockwise with angular speed 0.26 radians/s.Just before the impact, what is the angular momentum of the combined system of device plus clay about the center C? (As usual, x is to the right, y is up, and z is out of the screen, toward you.)

A device consists of eight balls each of mass 0.7 kg attached to the ends of low-mass spokes of length 1.4 m, so the radius of rotation of the balls is 0.7 m. The device is mounted in the vertical plane. The axle is held up by supports that are not shown, and the wheel is free to rotate on the nearly frictionless axle. A lump of clay with mass 0.35 kg falls and sticks to one of the balls at the location shown, when the spoke attached to that ball is at 45 degrees to the horizontal. Just before the impact the clay has a speed 5 m/s, and the wheel is rotating counterclockwise with angular speed 0.26 radians/s.Just before the impact, what is the angular momentum of the combined system of device plus clay about the center C? (As usual, x is to the right, y is up, and z is out of the screen, toward you.)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Similar questions

Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.
A load of mass 230 kg is lifted by means of a rope which is wound several times round a drum and which then supports a balance mass of 140 kg. As the load rises, the balance mass falls. The drum has a diameter of 1.2 m and a radius of gyration of 530 mm and its mass is 70 kg. The frictional resistance to the movement of the load is 110 N. and that to the movement of the balance mass 90 N. The frictional torque on the drum shaft is 80 N-m. 2. Find the torque required on the drum, and also the power required, at the instant when the load has an upward velocity of 2.5 m/s and an upward acceleration of 1.2 m/s?. [Ans. 916.2 N-m ; 4.32 kW]
A Proell governor has arms of 300 mm length. The upper arms are hinged on the axis ofrotation, whereas the lower arms are pivoted at a distance of 35 mm from the axis of rotation.The extension of lower arms to which the balls are attached are 100.1mm long. The massof each ball is 8 kg and the mass on the sleeve is 60 kg. At the minimum radius of rotation of 200mm, the extensions are parallel to the governor axis. Determine the equilibrium speed of thegovernor for the given configuration. What will be the equilibrium speed for the maximumradius of 250 mm?
The solid homogeneous cylinder shown has a mass of 30 kg and is rotating at 1200 rpm clockwise about a fixed horizontal axis through O. The coefficient of kinetic friction between the brake and the cylinder is 0.20. If the tension in the spring when the brake is applied is 100 N, determine the time required for the cylinder to stop rotating. Neglect the thickness of the vertical members. (Draw FBD)
Consider the system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?
Hey, please reply as soon as POSIBLE! Wheel A, of 30kg, is located in the position shown by the effect of idler wheel D (frictionless wheel) and the system rope-spring BC. The static coefficient of friction is 0.50 and the kinetic coefficient is 0.40 between all the contact surfaces. If the force exerted by the horizontal spring is 60 N: a) Determine whether or not wheel A is turning when a moment M of 60 Nm is applied at point G. b) If it is shown that under the previous condition the wheel is turning, calculate the new value of the moment M necessary for the wheel to keep turning in equilibrium. Also indicate the frictional force that is generated at point F under that condition.
A uniform slender bar AB with a mass of 20 kg and length of 3.6 m leans on a wall as shown. It is attached to a weightless small roller at end A on a smooth horizontal surface. The coefficient kinetic friction between end B and the wall is 0.25. If the bar is released from rest in the position shown when θ is 30°. Then find, determine the normal force at A. determine the normal force at B. determine the frictional force between end B and the wall.
A 256-lb block is released from rest when the spring is unstretched. The drum has a weight of 76 lb and a radius of gyration of kO = 0.9 ft about its center of mass O. The coefficient of stiffness of the spring is k=78 lb/ft. The radius of the drum are: rin=0.485ft and rout=0.82ft. Find the velocity of the block after it has descended d=4 feet.
The arms of a Porter governor are 300 mm long. The upper arms are pivoted on the axis of rotationand the lower arms are attached to the sleeve at a distance of 35 mm from the axis of rotation. The loadon the sleeve is 54 kg and the mass of each ball is 7 kg. Determine the equilibrium speed when the radius of the balls is 225 mm. What will be the range of speed for this position, if the frictional resistances to the motion of the sleeve are equivalent to a force of 30 N?[Ans. 174.3 r.p.m. ; 8.5 r.p.m.]
The 10 kg slender bar AB, shown in the figure, has a length of 2 m. A blockof negligible mass, pinned freely to end A, is confined to move along the smooth circular groove with its centre at O. End B rests on the floor for which the coefficient of kinetic friction, µk = 0.4. If the bar is released from rest when θ = 30 degreesa) identify the type of ensuing motion of the bar,b) draw the free body, kinematic and kinetic diagrams for the bar, c) set up a global reference axes system, and write down the relevantkinetic and kinematic relationships with respect to reference axes system, andd) determine the angular acceleration of the bar and the reaction forces at ends A and B.
The 13-kg sphere C is released from rest when θ = 0∘ and the tension in the spring is F = 100 N. The figure shows rod AB hinged at point A. Sphere C is attached to the other end of the rod, labeled as B. Point D is located on the rod, 0.3 meters from point A and 0.15 meters from the center of the sphere. A spring with stiffness k of 500 newtons per meter is attached to the rod at point D by one of its ends. Another end of the spring is fixed at point E, located 0.4 directly above point A. The sphere is shown to be below and to the right of point A. An acute angle between the rod and the horizontal is labeled as theta. Determine the speed of the sphere at the instant θ = 90∘ . Neglect the mass of rod AB and the size of the sphere.
A uniform disc of 25-kg mass and 500-mm diameter is mounted on a shaft. The plane of the disc is not perfectly at right angles to the axis of the shaft but has an error of 2.5 deree. Determine the gyroscopic couple acting on the bearing if the shaft rotates at 1000 rpm.