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15.7 A small object P rests on a horizontal disk as shown. At time t=0, the disk accelerates at a constant ac=.5k rad/s2 from rest until t=5s, then rotates freely without angular acceleration. It is known that P will start to slip on the disk when its resultant acceleration exceeds 3m/s2. Determine the maximum radial distance r for which the sliding of P on the disk will not occur.

15.7 A small object P rests on a horizontal disk as shown. At time t=0, the disk accelerates at a constant ac=.5k rad/s2 from rest until t=5s, then rotates freely without angular acceleration. It is known that P will start to slip on the disk when its resultant acceleration exceeds 3m/s2. Determine the maximum radial distance r for which the sliding of P on the disk will not occur.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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15.7

A small object P rests on a horizontal disk as shown. At time t=0, the disk accelerates at a constant ac=.5k rad/s2 from rest until t=5s, then rotates freely without angular acceleration. It is known that P will start to slip on the disk when its resultant acceleration exceeds 3m/s2. Determine the maximum radial distance r for which the sliding of P on the disk will not occur.

15,4 The gear A of the system shown executes 200 rev over a time interva 6 rad/s2. Determine vD. VE. ap, and a of the ponts D Plane Kinematics of Rigid Bodies 15.3 At the instant shown, the gear A rotates with O- 2 radie B rotates with ap E at this instant. and fhe while its angular velocity is being increased from 300 rpm constant rate a. Determine a, and At. to 900 rpm 4 in. 60° 6 in. 0.2 m 0.3 m A Fig. P15.5 and P15.6* Fig. P15.3* and P15.4 A circular disk rotates about the point O as shown. At the instant shou point P moves with vp = 0.9 m/s ↑ and ao of the point Q of the disk is di dicated. Determine a of the disk and the magnitude of ao at this instant 15.5 rad/s2 as 15.6* At the instant shown, a, of the point Q of the rotating disk is directei. indicated and has a magnitude of 10 m/s". Determine the speed vp of the pOint and a of the disk at this instant. 15.7 A small object P rests on a horizontal disk as shown. At the time t = 0 disk accelerates at a constant rate a. = k rad/s from rest until t = 5 s. then rotates freely without any angular acceleration. It is known that P will start to sla on the disk when its resultant acceleration exceeds 3 m/s. Determine the maxim radial distancer for which sliding of P on the disk will not occur. g. P15.7 15.8 The gears A, B, and C, of radii ra = 500 mm, rB = 200 mm, rc = 150 mm, respectively, all rotate about fixed axes parallel to the x axis shown. At a certain instant, the gear A rotates with WA = 6i rad/s and the gea rotates with ac = 10i rad/s. Determine 0g and ag of the gear B at this instant 0.6 m 0.9 m Fig. P15.8 Fig. P15.9* 15.9* A 0.6-m radius drum carrying the load A is rigidly attached to a 0.9-1 pulley carrying the load B as shown. At the time t = 0, the load B moves velocity of 2 m/s and a constant acceleration of 3 m/s? . Over the time 05152 s, determine (a) the number of revolutions executed by the pulley displacement of the load A.
Transcribed Image Text:15,4 The gear A of the system shown executes 200 rev over a time interva 6 rad/s2. Determine vD. VE. ap, and a of the ponts D Plane Kinematics of Rigid Bodies 15.3 At the instant shown, the gear A rotates with O- 2 radie B rotates with ap E at this instant. and fhe while its angular velocity is being increased from 300 rpm constant rate a. Determine a, and At. to 900 rpm 4 in. 60° 6 in. 0.2 m 0.3 m A Fig. P15.5 and P15.6* Fig. P15.3* and P15.4 A circular disk rotates about the point O as shown. At the instant shou point P moves with vp = 0.9 m/s ↑ and ao of the point Q of the disk is di dicated. Determine a of the disk and the magnitude of ao at this instant 15.5 rad/s2 as 15.6* At the instant shown, a, of the point Q of the rotating disk is directei. indicated and has a magnitude of 10 m/s". Determine the speed vp of the pOint and a of the disk at this instant. 15.7 A small object P rests on a horizontal disk as shown. At the time t = 0 disk accelerates at a constant rate a. = k rad/s from rest until t = 5 s. then rotates freely without any angular acceleration. It is known that P will start to sla on the disk when its resultant acceleration exceeds 3 m/s. Determine the maxim radial distancer for which sliding of P on the disk will not occur. g. P15.7 15.8 The gears A, B, and C, of radii ra = 500 mm, rB = 200 mm, rc = 150 mm, respectively, all rotate about fixed axes parallel to the x axis shown. At a certain instant, the gear A rotates with WA = 6i rad/s and the gea rotates with ac = 10i rad/s. Determine 0g and ag of the gear B at this instant 0.6 m 0.9 m Fig. P15.8 Fig. P15.9* 15.9* A 0.6-m radius drum carrying the load A is rigidly attached to a 0.9-1 pulley carrying the load B as shown. At the time t = 0, the load B moves velocity of 2 m/s and a constant acceleration of 3 m/s? . Over the time 05152 s, determine (a) the number of revolutions executed by the pulley displacement of the load A.
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