3. A 2-kg ball S is moved in the vertical plane by a robotic arm. When 0= 30°, the angular velocity of the arm about a horizontal axis through O is 50 deg/s clockwise, and the angular acceleration is 200 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 500 mm/s. Find the minimum gripping force needed to hold the ball is the coefficient of friction between the sphere and gripping surfaces is 0.5. 1m Compare this force to the force needed to hold the sphere in static equilibrium.
3. A 2-kg ball S is moved in the vertical plane by a robotic arm. When 0= 30°, the angular velocity of the arm about a horizontal axis through O is 50 deg/s clockwise, and the angular acceleration is 200 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 500 mm/s. Find the minimum gripping force needed to hold the ball is the coefficient of friction between the sphere and gripping surfaces is 0.5. 1m Compare this force to the force needed to hold the sphere in static equilibrium.
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
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Transcribed Image Text:3. A 2-kg ball S is moved in the vertical plane by a robotic arm. When 0= 30°,
the angular velocity of the arm about a horizontal axis through O is 50 deg/s
clockwise, and the angular acceleration is 200 deg/s² counterclockwise. In
addition, the hydraulic element is being shortened at the constant rate of 500
mm/s. Find the minimum gripping force needed to hold the ball is the
coefficient of friction between the sphere and gripping surfaces is 0.5.
Compare this force to the force needed to hold the sphere in static
equilibrium.
Expert Solution
Step 1
Data given-
m = 2 kg
θ = 30°
r = 1 m
r• = -0.5 m / s
r•• = 0
Taking counterclockwise as postive and clockwise direction as negative
θ• = -50 deg/s = -50 ×π/180 = -0.873 rad/s
θ•• = -200 deg/s2 = 200 × π/180 = 3.49 rad/s2
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