Q.20: In the adjacent figure, a very light rope is wrapped around a wheel of radius R = 3 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 () from the end of the rope. When the system is released from rest it is observed that the block descends () with constant acceleration of magnitude 5 m/s. The moment of inertia (measured in kg.m) of the wheel relative to the rotation axle is: B. 37.2 C. 120.9 A. 9.8 D. 240.3 E. 53.8.
Q.20: In the adjacent figure, a very light rope is wrapped around a wheel of radius R = 3 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 () from the end of the rope. When the system is released from rest it is observed that the block descends () with constant acceleration of magnitude 5 m/s. The moment of inertia (measured in kg.m) of the wheel relative to the rotation axle is: B. 37.2 C. 120.9 A. 9.8 D. 240.3 E. 53.8.
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Physics, please solve question 20
![Q.15: The angular position ($ all) of a swinging (+j) rigid body is given by:
e(t) = (-4t3+ 2t2 + 100t +5) rad
The magnitude of the angular velocity (in rad/s) of this body att= 2 sec is:
A. 9.8
В. 28
C. 60
Q.16: At t = 0, a wheel (Jac) rotating about a fixed axis at a constant angular acceleration has an
angular speed of 2 rad/s. Two seconds later it has turned through 8 complete revolutions ().
The magnitude of the angular acceleration (in rad/s) of this wheel is:
[Hint: one revolution equals 2n rad).
D. 92
E. 112
A. 2.65
B. 50.0
Q.17: The disc in the adjacent figure has radius R and rotates () with an angular speed w about an
axle () passing through point o and perpendicular ( gac) to the plane of the disc. Let w, a and V
represent the angular speed, angular acceleration and linear speed,
respectively ( e). If points A, B, and C lie at the rim (a) of the disc,
then which of the following statements is entirely (IS) correct:
A. VA = VB = Vc and wa = WB = Wc
B. VA = VB = Vc and wa > We >Wc
C. aA >aB > ac and VA = Vg = Vc
D. WA = WB = wcand Vc> V8 > VA
E. WA> WB > wc and VA> V8 > Vc
Q.18: A rigid body rotates around an axis that passes through the origin and perpendicular to its
surface. A force F = (2î + i-k)N acts on the rigid body at the point (1, -1, 1) m.
С. 13.7
D. 23.1
E. Zero
%3D
The magnitude of the torque (in N.m) due to this force calculated about the origin is:
В. 6.5
C. 4.5:
D. 18
E. 23
A. 2.1
Q.19: A 4-kg particle has its position in the XY-plane given by:
the angular momentum (measured in kg.m/s )of the particle with respect to the origin at t = 1 sec is:
C. 8
F(t) =[(21 + 5)i +(t?-3t +1)i], where t is in seconds and r is in meters. The magnitude of
E. 12
D. 10
В. 6
A. 20
Q.20: In the adjacent figure, a very light rope is wrapped around a wheel of radius
R = 3 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 (a) from
the end of the rope. When the system is released from rest it is observed that the
block descends (a) with constant acceleration of magnitude 5 m/s?
The moment of inertia (measured in ikg.m) of the wheel relative to the rotation
axle is:
%3D
С. 120.9
B. 37.2
A. 9.8
E. 53.8.
D. 240.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ee367da-be5c-4591-a9bd-5d06df680f6a%2Fc746f172-aab7-452e-9244-e7842f3062d7%2Feisetbm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.15: The angular position ($ all) of a swinging (+j) rigid body is given by:
e(t) = (-4t3+ 2t2 + 100t +5) rad
The magnitude of the angular velocity (in rad/s) of this body att= 2 sec is:
A. 9.8
В. 28
C. 60
Q.16: At t = 0, a wheel (Jac) rotating about a fixed axis at a constant angular acceleration has an
angular speed of 2 rad/s. Two seconds later it has turned through 8 complete revolutions ().
The magnitude of the angular acceleration (in rad/s) of this wheel is:
[Hint: one revolution equals 2n rad).
D. 92
E. 112
A. 2.65
B. 50.0
Q.17: The disc in the adjacent figure has radius R and rotates () with an angular speed w about an
axle () passing through point o and perpendicular ( gac) to the plane of the disc. Let w, a and V
represent the angular speed, angular acceleration and linear speed,
respectively ( e). If points A, B, and C lie at the rim (a) of the disc,
then which of the following statements is entirely (IS) correct:
A. VA = VB = Vc and wa = WB = Wc
B. VA = VB = Vc and wa > We >Wc
C. aA >aB > ac and VA = Vg = Vc
D. WA = WB = wcand Vc> V8 > VA
E. WA> WB > wc and VA> V8 > Vc
Q.18: A rigid body rotates around an axis that passes through the origin and perpendicular to its
surface. A force F = (2î + i-k)N acts on the rigid body at the point (1, -1, 1) m.
С. 13.7
D. 23.1
E. Zero
%3D
The magnitude of the torque (in N.m) due to this force calculated about the origin is:
В. 6.5
C. 4.5:
D. 18
E. 23
A. 2.1
Q.19: A 4-kg particle has its position in the XY-plane given by:
the angular momentum (measured in kg.m/s )of the particle with respect to the origin at t = 1 sec is:
C. 8
F(t) =[(21 + 5)i +(t?-3t +1)i], where t is in seconds and r is in meters. The magnitude of
E. 12
D. 10
В. 6
A. 20
Q.20: In the adjacent figure, a very light rope is wrapped around a wheel of radius
R = 3 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 (a) from
the end of the rope. When the system is released from rest it is observed that the
block descends (a) with constant acceleration of magnitude 5 m/s?
The moment of inertia (measured in ikg.m) of the wheel relative to the rotation
axle is:
%3D
С. 120.9
B. 37.2
A. 9.8
E. 53.8.
D. 240.3
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