A gear of mass m= 10 kg and radius R = 0.25 m may rotate about its center of mass C, which is fixed. A rack of mass m = 10 kg is subjected to a constant force Fo = 20 N, as shown. The rack and gear are geared together (gear teeth not shown), so that the force Fo drives the rack to the right and rotates the gear. Find the angular acceleration a of the gear and find the force f exerted by the rack on the gear. The gear is to be modeled as a uniform circular disc. FIxed Fo3 20 N Rack

A gear of mass m= 10 kg and radius R = 0.25 m may rotate about its center of mass C, which is fixed. A rack of mass m = 10 kg is subjected to a constant force Fo = 20 N, as shown. The rack and gear are geared together (gear teeth not shown), so that the force Fo drives the rack to the right and rotates the gear. Find the angular acceleration a of the gear and find the force f exerted by the rack on the gear. The gear is to be modeled as a uniform circular disc. FIxed Fo3 20 N Rack

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of ? = 55° shown in the figure. Find the tension forces at the strings AB and AC.
2. A cord is wrapped around a homogeneous disk of radius r = 0.5 m and mass m = 14. 25 kg. If the cord is pulled upward with a force T of magnitude 171 N, determine a. the acceleration of the center of the disk, b. the angular acceleration of the disk, c. the acceleration of the cord. T 0.5 m Go A Draw the Free Body Diagram.
In a four bar mechanism the link AB rotates with angular velocity of 20rad/s and angular acceleration of 100 rad/s both in clockwise direction when it make an angle of 45° with link AD which is fixed .The length of various linkages are AB=CD=400 mm,BC=500mm and AD=750mm .Neglect the gravitational effect and friction.The mass of link is 5kg/m. Find the torque on output link E (2) (4) A (1) (1)
A torque T = 0.30 N-m is applied to a bevel gear B. Bevel gear D meshes with gear B and drives pump A. Gear B has a radius of gyration of 150 mm and a weight of 50 N, whereas gear D and the im- peller of pump A have a combined radius of gy- ration of 50 mm and a weight of 100 N. Find how many revolutions of gear B are needed to get the pump up to 200 rpm from rest. What is the power output of the pump at this speed if it is 90% efficient.
In the mechanism shown below, the wheel is pinned at the center. The radius from O to C is 0.2 m and link CB is 0.55 m long. CB makes an initial angle of 25° with the horizontal as shown. The hydraulic ram at B is moving left at 7 m/s. At the moment shown, what is the angular velocity of link BC and the wheel pivoted at 0? 0000 Ninbet tatis rad/s
Important problem. The motor produces a counterclockwise torque 1 N.m on the attached disk A. A Part of this torque is transferred to the disk C through the belt after amplification. The disk A has mass 0.5 kg. and the disk C has mass = 4.5 kg. Find: (50 m 5omm pully C I. The difference tension between the palley A Te belt parts (7- T). II. The angular acceleration of the disk С. The angular acceleration of disk A. The angular velocity of the disk C after 5 seconds from the motion start. The transferred torque to the disk C. III. IV. V.
(A) A uniform rod 4 m long slender rod AB of mass 40.775 kg is rigidly connected to the center of a think disk of mass 30 kg as shown in the figure. The diameter of the disk is 2 m. At the instant shown the counterclockwise angular velocity of the disk is 10 rad/sec. (a) Find the resultant acceleration of the center of the rod AB and • b) determine the support reactions at A. 1 m TTTT 200 kg D
On a wheel of mass 2.75 kg act 3 forces as shown in figure. Determine the angular acceleration felt by the wheel due to these forces.
In the mechanism shown in the figure, the OE crank rotates with a constant angular velocity of 3 rad/s. At the moment shown:a. find the velocity of the Point C, which is the center of mass of the disk, andb. find the angular acceleration of the disk.
2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.
1. The 20-kg flywheel has a radius of gyration kg = 0.5 m about the axis of its attached shaft (O-0). It is at rest when subjected to a torque that rises uniformly from 0 to 2 N-m over 3 revolutions, then holds at a constant 2 N-m for the remainder of the motion. What is the angular velocity of the flywheel after 10 revolutions? Give your answer in RPM.
3. The spring-toggle system is in the vertical plane and is held at rest with 45° when a moment of 12 N-m is applied at point C. In the initial position, the spring, with stiffness of 140 N/m, is stretched 150 mm. Bar AB has a mass of 3 kg, and bar BC has a mass of 6 kg. Find the angular velocity of BC at the moment when 8-0. Neglect friction effects. 250 mm 250 mm OB 250 mm