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Problem: MET 202 Section 1 Exam 3 May 10, 2017 Name: MOI: $I_{AB} = \frac{1}{12}m_{AB}l_{AB}^2$ $I_{BC} = \frac{1}{12}m_{BC}l_{BC}^2$ COE: $T_1 + V_1 + U_{1-2} = T_2 + V_2 + U_{1-2}$ $T = \frac{1}{2}I_{AB}\omega_{AB}^2 + \frac{1}{2}m_{BC}v_C^2 + \frac{1}{2}I_{BC}\omega_{BC}^2$ $V_g = mgh$ $K = \frac{1}{2}kx^2$ $(x = \text{change in length of spring})$ $V_{spring} = \frac{1}{2}kx^2$ $x = l_{BC} - l_{BC_0}$ 600 mm 360 mm C Rod AB and BC weigh 2.4 kg and 4 kg respectively. The tension in the spring is zero at $\theta$ equals 90°. Rod AB is rotated clockwise until $\theta$ equals 45° at which point it is released. If the spring stiffness k equals 2 N/mm, determine: A) the velocity of pin C after rod AB has rotated through 90° B) the angular velocity of rod AB C) the angular velocity of rod BC

          Problem:
MET 202 Section 1
Exam 3
May 10, 2017
Name:
MOI:
$I_{AB} = \frac{1}{12}m_{AB}l_{AB}^2$
$I_{BC} = \frac{1}{12}m_{BC}l_{BC}^2$
COE:
$T_1 + V_1 + U_{1-2} = T_2 + V_2 + U_{1-2}$
$T = \frac{1}{2}I_{AB}\omega_{AB}^2 + \frac{1}{2}m_{BC}v_C^2 + \frac{1}{2}I_{BC}\omega_{BC}^2$
$V_g = mgh$
$K = \frac{1}{2}kx^2$
$(x = \text{change in length of spring})$
$V_{spring} = \frac{1}{2}kx^2$
$x = l_{BC} - l_{BC_0}$
600 mm
360 mm
C
Rod AB and BC weigh 2.4 kg and 4 kg respectively. The tension in the spring is zero at $\theta$ equals
90°. Rod AB is rotated clockwise until $\theta$ equals 45° at which point it is released. If the spring
stiffness k equals 2 N/mm, determine:
A) the velocity of pin C after rod AB has rotated through 90°
B) the angular velocity of rod AB
C) the angular velocity of rod BC

Problem:
MET 202 Section 1
Exam 3
May 10, 2017
Name:
MOI:
IAB = (1)/(12)mABlAB^2
IBC = (1)/(12)mBClBC^2
COE:
T1 + V1 + U1-2 = T2 + V2 + U1-2
T = (1)/(2)IABωAB^2 + (1)/(2)mBCvC^2 + (1)/(2)IBCωBC^2
Vg = mgh
K = (1)/(2)kx^2
(x = change in length of spring)
Vspring = (1)/(2)kx^2
x = lBC - lBC0
600 mm
360 mm
C
Rod AB and BC weigh 2.4 kg and 4 kg respectively. The tension in the spring is zero at θ equals
90°. Rod AB is rotated clockwise until θ equals 45° at which point it is released. If the spring
stiffness k equals 2 N/mm, determine:
A) the velocity of pin C after rod AB has rotated through 90°
B) the angular velocity of rod AB
C) the angular velocity of rod BC

Added by Gerald W.

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