1. The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.10 rad/s. a) Calculate the moment of inertia of the system about the z axis in kg · m2 . b) Calculate the rotational kinetic energy of the system in J.
1. The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.10 rad/s. a) Calculate the moment of inertia of the system about the z axis in kg · m2 . b) Calculate the rotational kinetic energy of the system in J.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 21PQ
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1. The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.10 rad/s.
a) Calculate the moment of inertia of the system about the z axis in kg · m2 .
b) Calculate the rotational kinetic energy of the system in J.
2. A 14.0 m uniform ladder weighing 520 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal.
a) Find the horizontal and vertical forces (in N) with its direction, for the ground exerts on the base of the ladder when an 820-N firefighter has climbed 3.90 m along the ladder from the bottom.
b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground?
c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
Transcribed Image Text:3.00 kg
2.00 kg
2,00 kg
4.00 kg
-4.00 m-
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