Problem Twelve. An object consists of four particles: m₁ =1.0kg, m₂ = 2.0kg, m3 = 3.0kg, ma = 4.0kg. They are connected by rigid massless rods to form a rectangle of edge lengths 2a and 2b, where a 7.0 m and b = 8.0 m. The system rotates about the x-axis through the center as shown. = Find the (x, y) coordinate of the center of gravity of the object (in meters). Use the geometrical center of the object as the origin. 2a 13 2b m M2 Axis of rotation 20.) (A) (-3.2, -1.4) (B) (-3.2, 1.4) (C) (5.2, -1.4) (D) (-1.8,-1.4) (E) (3.2,-5.2) Find the moment of inertia of the object about the x-axis and y-axis that run through the geometrical center of the object. Give an answer as (Ix, ly, I) in units of 10² kg-m². 21.) (A) (6.4, 4.9, 11) (D) (9.8, 11, 12.8) (B) (4.9, 6.4, 11) (C) (11, 12.8, 9.8) (E) (2.5, 10, 11) anul babogaus al bos ano 002 maldor If the object is spinning with angular velocity of 30 rpm around the axis of rotation shown in the diagram, find the rotational kinetic energy. Give an answer in units of kJ. 22.) (A) 2.4 (B) 3.1 2002 (0) (C) 5.4 200° (0) OS (D) 6.3 OCT (A) 1.82 1000 (C(E) 7.6 Find the torque needed to speed up the rotation of the object by an additional 40 rpm each second. Give an answer in units of kN·m. 23.) (A) 7.6 (B) 2.1 (C) 5.4 (D) 6.3 (E) 3.1 Find the magnitude of the new angular momentum if the torque is applied for 10 seconds. Give an answer in units of 10 kg-m²/s. 24.) (A) 7.9 (B) 5.6 (C) 4.3 (D) 2.2 (E) 5.3
Problem Twelve. An object consists of four particles: m₁ =1.0kg, m₂ = 2.0kg, m3 = 3.0kg, ma = 4.0kg. They are connected by rigid massless rods to form a rectangle of edge lengths 2a and 2b, where a 7.0 m and b = 8.0 m. The system rotates about the x-axis through the center as shown. = Find the (x, y) coordinate of the center of gravity of the object (in meters). Use the geometrical center of the object as the origin. 2a 13 2b m M2 Axis of rotation 20.) (A) (-3.2, -1.4) (B) (-3.2, 1.4) (C) (5.2, -1.4) (D) (-1.8,-1.4) (E) (3.2,-5.2) Find the moment of inertia of the object about the x-axis and y-axis that run through the geometrical center of the object. Give an answer as (Ix, ly, I) in units of 10² kg-m². 21.) (A) (6.4, 4.9, 11) (D) (9.8, 11, 12.8) (B) (4.9, 6.4, 11) (C) (11, 12.8, 9.8) (E) (2.5, 10, 11) anul babogaus al bos ano 002 maldor If the object is spinning with angular velocity of 30 rpm around the axis of rotation shown in the diagram, find the rotational kinetic energy. Give an answer in units of kJ. 22.) (A) 2.4 (B) 3.1 2002 (0) (C) 5.4 200° (0) OS (D) 6.3 OCT (A) 1.82 1000 (C(E) 7.6 Find the torque needed to speed up the rotation of the object by an additional 40 rpm each second. Give an answer in units of kN·m. 23.) (A) 7.6 (B) 2.1 (C) 5.4 (D) 6.3 (E) 3.1 Find the magnitude of the new angular momentum if the torque is applied for 10 seconds. Give an answer in units of 10 kg-m²/s. 24.) (A) 7.9 (B) 5.6 (C) 4.3 (D) 2.2 (E) 5.3
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 2WUE: Math Review (a) Convert 47.0 to radians, using the appropriate conversion ratio. (b) Convert 2.35...
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Transcribed Image Text:Problem Twelve. An object consists of four
particles: m₁ =1.0kg, m₂ = 2.0kg, m3 = 3.0kg,
ma = 4.0kg. They are connected by rigid
massless rods to form a rectangle of edge lengths
2a and 2b, where a 7.0 m and b = 8.0 m. The
system rotates about the x-axis through the center
as shown.
=
Find the (x, y) coordinate of the center of
gravity of the object (in meters). Use the
geometrical center of the object as the
origin.
2a
13
2b
m
M2
Axis of rotation
20.) (A) (-3.2, -1.4) (B) (-3.2, 1.4)
(C) (5.2, -1.4)
(D) (-1.8,-1.4)
(E) (3.2,-5.2)
Find the moment of inertia of the object about the x-axis and y-axis that run through the geometrical
center of the object. Give an answer as (Ix, ly, I) in units of 10² kg-m².
21.) (A) (6.4, 4.9, 11)
(D) (9.8, 11, 12.8)
(B) (4.9, 6.4, 11)
(C) (11, 12.8, 9.8)
(E) (2.5, 10, 11)
anul babogaus al bos ano
002
maldor
If the object is spinning with angular velocity of 30 rpm around the axis of rotation shown in the
diagram, find the rotational kinetic energy. Give an answer in units of kJ.
22.) (A) 2.4
(B) 3.1
2002 (0)
(C) 5.4
200° (0)
OS (D) 6.3
OCT (A) 1.82
1000 (C(E) 7.6
Transcribed Image Text:Find the torque needed to speed up the rotation of the object by an additional 40 rpm each second.
Give an answer in units of kN·m.
23.) (A) 7.6
(B) 2.1
(C) 5.4
(D) 6.3
(E) 3.1
Find the magnitude of the new angular momentum if the torque is applied for 10 seconds. Give an
answer in units of 10 kg-m²/s.
24.) (A) 7.9
(B) 5.6
(C) 4.3
(D) 2.2
(E) 5.3
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