A 1.7-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle e is 24°, the angular velocity of the arm about a horizontal axis through O is 57 deg/s clockwise and its angular acceleration is 222 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 430 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.56. Compare P with the minimum gripping force Ps required to hold the sphere in static equilibrium in the 24° position.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 1.7-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle e is 24°, the angular velocity of the arm about a
horizontal axis through O is 57 deg/s clockwise and its angular acceleration is 222 deg/s² counterclockwise. In addition, the
hydraulic element is being shortened at the constant rate of 430 mm/s. Determine the necessary minimum gripping force Pif the
coefficient of static friction between the sphere and the gripping surfaces is 0.56. Compare P with the minimum gripping force P3
required to hold the sphere in static equilibrium in the 24° position.
2.1 m
Answers:
P =
i
N
P =
i
Transcribed Image Text:A 1.7-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle e is 24°, the angular velocity of the arm about a horizontal axis through O is 57 deg/s clockwise and its angular acceleration is 222 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 430 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.56. Compare P with the minimum gripping force P3 required to hold the sphere in static equilibrium in the 24° position. 2.1 m Answers: P = i N P = i
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