is given by: (-4 + 2t2 + 1001 + 5) rad The magnitude of the angular velocity (in rad/s) of this body at t = 1 sec is: A. 9.8 В. 18 C. 23 D. 92 E. Q.16: Al t = 0, a wheel (Jac) rotating about a fixed axis at a constant angular acceleration hi angular speed of 2 rad/s. Two seconds later it has turned through 5 complete revolutions ( The magnitude of the angular acceleration (in rad/s³) of this wheel is: (Hint: one revolution equals 2n rad}. A. 2.65 Q.17: The disc in the adjacent figurc has radius R and rotates () with an angular speed w ai axle () passing through point o and perpendicular (sgc) to the plane of the disc. Let w, a represent the angular speed, angular acceleration and linear speed, respectively ( ). If points A, B, and C lie at the rim (a) of the disc, then which of the following statements is entirely (S) correct: A. VA> Va > Vc and wA = Wn = W B. VA= Va = Vc and wa > wa > we C. an >ag > ac and VA = Va = Ve D. WA = Wg = Wc and Vc > Va > Va E. WA=Wa = Wc and VA = Ve = Vc Q.18: A rigid body rotates around an axis that passes through the origin and perpendicular to its surface, A force = (2i + j -k) N acts on the rigid body at the point (1,-1, 1) m. The magnitude of the torque (in N.m) due to this force calculated about the origin is: A. 2.1 Q.19: A 2-kg particle has its position in the XY-plane given by: F(1)={(21 +5)i +(1 - 31 +1)], where t is in seconds and r is in meters. The magnitude of the angular momentum (measured in kg.m/s Jof the particie with respect to the origin at t = 1 sec i: A. 2 B. 5.0 C. 13.7 D. 9.8 E. %3D B. 4.2 C. 6.0 D. 18 E. 23 B. 6 C. 8 D. 10 E. 12 Q.20: In the adjacent figure, a very light rope is wrapped around a wheel of radius R = 2 m. The wheel can rotate around an axle that is passing through its center and perpendicular to its surface. A block of mass 14 kg is suspended (üan) from he end of the rope. When the system is released from rest it is observed that the -lock descends (yi) with constant acceleration of magnitude 5 m/s. he moment of inertia (measured in kg.m) of the wheel relative to the rotation Fle is: 9.8 14 kg B. 37.2 C. 12.8 24.3 E. 53.8
is given by: (-4 + 2t2 + 1001 + 5) rad The magnitude of the angular velocity (in rad/s) of this body at t = 1 sec is: A. 9.8 В. 18 C. 23 D. 92 E. Q.16: Al t = 0, a wheel (Jac) rotating about a fixed axis at a constant angular acceleration hi angular speed of 2 rad/s. Two seconds later it has turned through 5 complete revolutions ( The magnitude of the angular acceleration (in rad/s³) of this wheel is: (Hint: one revolution equals 2n rad}. A. 2.65 Q.17: The disc in the adjacent figurc has radius R and rotates () with an angular speed w ai axle () passing through point o and perpendicular (sgc) to the plane of the disc. Let w, a represent the angular speed, angular acceleration and linear speed, respectively ( ). If points A, B, and C lie at the rim (a) of the disc, then which of the following statements is entirely (S) correct: A. VA> Va > Vc and wA = Wn = W B. VA= Va = Vc and wa > wa > we C. an >ag > ac and VA = Va = Ve D. WA = Wg = Wc and Vc > Va > Va E. WA=Wa = Wc and VA = Ve = Vc Q.18: A rigid body rotates around an axis that passes through the origin and perpendicular to its surface, A force = (2i + j -k) N acts on the rigid body at the point (1,-1, 1) m. The magnitude of the torque (in N.m) due to this force calculated about the origin is: A. 2.1 Q.19: A 2-kg particle has its position in the XY-plane given by: F(1)={(21 +5)i +(1 - 31 +1)], where t is in seconds and r is in meters. The magnitude of the angular momentum (measured in kg.m/s Jof the particie with respect to the origin at t = 1 sec i: A. 2 B. 5.0 C. 13.7 D. 9.8 E. %3D B. 4.2 C. 6.0 D. 18 E. 23 B. 6 C. 8 D. 10 E. 12 Q.20: In the adjacent figure, a very light rope is wrapped around a wheel of radius R = 2 m. The wheel can rotate around an axle that is passing through its center and perpendicular to its surface. A block of mass 14 kg is suspended (üan) from he end of the rope. When the system is released from rest it is observed that the -lock descends (yi) with constant acceleration of magnitude 5 m/s. he moment of inertia (measured in kg.m) of the wheel relative to the rotation Fle is: 9.8 14 kg B. 37.2 C. 12.8 24.3 E. 53.8
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Question
Solve 20
![Q.15: The angular position (s yall) of a swinging () rigid body is given by:
0(t) = (--43 + 2t² + 1001 + 5) rad
The magnitude of the angular velocity (in rad/s) of this body at t = 1 sec is:
В. 18
C. 23
D. 92
E.
A. 9.8
Q.16: At t = 0, a wheel (Jae) rotating about a fixed axis at a constant angular acceleration hi
angular speed of 2 rad/s. Two seconds later it has turned through 5 complete revolutions (
The magnitude of the angular acceleration (in rad/s) of this wheel is:
(Hint: one revolution equals 2n rad).
A. 2.65
Q.17: The disc in the adjacent figure has radius R and rotates () with an angular speed w al
axle (J) passing through point o and perpendicular (sc) to the plane of the disc. Let w, a
represent the angular speed, angular acceleration and linear speed,
respectively (al gle). If points A, B, and C lie at the rim (a) of the disc,
then which of the following statements is entirely (S) correct:
A. VA> Va> Vc and wa = Wa = ws
B. VA = Va = Vc and wa> wa> wc
C. an >ag > ac and VA = Vg = Vc
D. WA = Wg = wcand Vc> Vg > VA
[. WA = Wa = we and VA = Va = Vc
Q.18: A rigid body rotates around an axis that passes through the origin and perpendicular to its
surface. A force F= (2i + i -k)N acts on the rigid body at the point (1, -1, 1) m.
The magnitude of the torque (in N.m) due to this force calculated about the origin is:
B. 5.0
C. 13.7
D. 9.8
E.
A. 2.1
B. 4.2
C. 6.0
D. 18
E. 23
Q.19: A 2-kg particle has its position in the XY-plane given by:
F(1) ={(24 + 5)i +(1 - 31 +1)], where t is in seconds andr is in meters. The magnitude of
the angular momentum (measured in kg.m²/s Jof the particle with respect to the origin at t = 1 sec i
A. 2
В. 6
С. 8
D. 10
E. 12
Q.20: in the adjacent figure, a very light rope is wrapped around a wheel of radius
R = 2 m. The wheel can rotate around an axte that is passing through its center
and perpendicular to its surface. A block of mass 14 kg is suspended (ilea) from
-he end of the rope. When the system is reieased from rest it is observed that the
-lock descends () with constant acceleration of magnitude 5 m/s.
he moment of inertia (measured in kg.m) of the wheel relative to the rotation
-ie is:
14 kg
B. 37.2
E. 53.8
9.8
C. 12.8
24.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0bd804a-f33b-4e5b-b94a-bc9f6cb6691c%2F89a6da49-b001-4868-8e61-e253a00f5898%2Feklpjh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.15: The angular position (s yall) of a swinging () rigid body is given by:
0(t) = (--43 + 2t² + 1001 + 5) rad
The magnitude of the angular velocity (in rad/s) of this body at t = 1 sec is:
В. 18
C. 23
D. 92
E.
A. 9.8
Q.16: At t = 0, a wheel (Jae) rotating about a fixed axis at a constant angular acceleration hi
angular speed of 2 rad/s. Two seconds later it has turned through 5 complete revolutions (
The magnitude of the angular acceleration (in rad/s) of this wheel is:
(Hint: one revolution equals 2n rad).
A. 2.65
Q.17: The disc in the adjacent figure has radius R and rotates () with an angular speed w al
axle (J) passing through point o and perpendicular (sc) to the plane of the disc. Let w, a
represent the angular speed, angular acceleration and linear speed,
respectively (al gle). If points A, B, and C lie at the rim (a) of the disc,
then which of the following statements is entirely (S) correct:
A. VA> Va> Vc and wa = Wa = ws
B. VA = Va = Vc and wa> wa> wc
C. an >ag > ac and VA = Vg = Vc
D. WA = Wg = wcand Vc> Vg > VA
[. WA = Wa = we and VA = Va = Vc
Q.18: A rigid body rotates around an axis that passes through the origin and perpendicular to its
surface. A force F= (2i + i -k)N acts on the rigid body at the point (1, -1, 1) m.
The magnitude of the torque (in N.m) due to this force calculated about the origin is:
B. 5.0
C. 13.7
D. 9.8
E.
A. 2.1
B. 4.2
C. 6.0
D. 18
E. 23
Q.19: A 2-kg particle has its position in the XY-plane given by:
F(1) ={(24 + 5)i +(1 - 31 +1)], where t is in seconds andr is in meters. The magnitude of
the angular momentum (measured in kg.m²/s Jof the particle with respect to the origin at t = 1 sec i
A. 2
В. 6
С. 8
D. 10
E. 12
Q.20: in the adjacent figure, a very light rope is wrapped around a wheel of radius
R = 2 m. The wheel can rotate around an axte that is passing through its center
and perpendicular to its surface. A block of mass 14 kg is suspended (ilea) from
-he end of the rope. When the system is reieased from rest it is observed that the
-lock descends () with constant acceleration of magnitude 5 m/s.
he moment of inertia (measured in kg.m) of the wheel relative to the rotation
-ie is:
14 kg
B. 37.2
E. 53.8
9.8
C. 12.8
24.3
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