D. 92 E. Q.16: Al t = 0, a wheel (Jac) rotating about a fixed axis at a constant angular acceleration ha 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 (sel with an angula axle () passing through 8. 5.0 C. 13.7 D. 9.8 E.

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Chapter1: Units, Trigonometry. And Vectors
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Solve Q16
Q.15: The angular posltion (s yall) of a swinging () rigid body is given by:
()(!) = (--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 (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 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 (all ole). If points A, B, and C lie at the rim (a) of the disc,
then which of the following statements is entirely (4S) correct:
A. VA > Va> Vc and wa = Wa = ws
B. VA = Va = Vc and wa > wa> wc
C. an >ag >ac and VA = Vy = Vc
D. WA = Wg = wcand Vc> Va > VA
[. WA = Wn = wc 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 = (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:
A. 2.1
B. 5.0
С. 13.7
D. 9.8
E.
B. 4.2
С. 6.0
D. 18
E. 23
Q.19: A 2-kg particle has its position in the XY-plane given by:
F(1)={(21 + 5)i + (1 - 3! +1)i1, where t is in seconds and r 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 axle that is passing through its center
and perpendicular to its surface. A block of mass 14 kg is suspended (i) from
-he end of the rope. When the system is released 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
С. 12.8
24.3
انتهت الأستلة
نتمنى لكم امتحانا موفقا
3
Transcribed Image Text:Q.15: The angular posltion (s yall) of a swinging () rigid body is given by: ()(!) = (--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 (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 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 (all ole). If points A, B, and C lie at the rim (a) of the disc, then which of the following statements is entirely (4S) correct: A. VA > Va> Vc and wa = Wa = ws B. VA = Va = Vc and wa > wa> wc C. an >ag >ac and VA = Vy = Vc D. WA = Wg = wcand Vc> Va > VA [. WA = Wn = wc 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 = (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: A. 2.1 B. 5.0 С. 13.7 D. 9.8 E. B. 4.2 С. 6.0 D. 18 E. 23 Q.19: A 2-kg particle has its position in the XY-plane given by: F(1)={(21 + 5)i + (1 - 3! +1)i1, where t is in seconds and r 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 axle that is passing through its center and perpendicular to its surface. A block of mass 14 kg is suspended (i) from -he end of the rope. When the system is released 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 С. 12.8 24.3 انتهت الأستلة نتمنى لكم امتحانا موفقا 3
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