A 3.5-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle is 35°, the angular velocity of the arm about a horizontal axis through O is 53 deg/s clockwise and its angular acceleration is 173 deg/s² counterclockwise. In addition, the hydrauli element is being shortened at the constant rate of 420 mm/s. Determine the necessary minimum gripping force P if the coefficient of static friction between the sphere and the gripping surfaces is 0.41. Compare P with the minimum gripping force P, required to hold the sphere in static equilibrium in the 35° position. 1.8 m 0 Answers: P= P₁ = i i N N

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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A 3.5-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle is 35°, the angular velocity of the arm about a
horizontal axis through O is 53 deg/s clockwise and its angular acceleration is 173 deg/s² counterclockwise. In addition, the hydraulic
element is being shortened at the constant rate of 420 mm/s. Determine the necessary minimum gripping force P if the coefficient of
static friction between the sphere and the gripping surfaces is 0.41. Compare P with the minimum gripping force P, required to hold
the sphere in static equilibrium in the 35° position.
p
1.8 m
Answers:
P =
P₁ =
i
i
$
N
N
Transcribed Image Text:A 3.5-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle is 35°, the angular velocity of the arm about a horizontal axis through O is 53 deg/s clockwise and its angular acceleration is 173 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 420 mm/s. Determine the necessary minimum gripping force P if the coefficient of static friction between the sphere and the gripping surfaces is 0.41. Compare P with the minimum gripping force P, required to hold the sphere in static equilibrium in the 35° position. p 1.8 m Answers: P = P₁ = i i $ N N
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