Consider the following situation for Questions o7-10: A uniform 25 kg slender ro

Question

Consider the following situation for Questions o7-10: A uniform 25 kg slender rod, AB, is at rest in the position shown when F 800N is applied. It moves until the rod reaches the vertical position. 100 m 8 m 800 N Question 07: 5PTS) What type of motion is exhibited by rod, AB? A. Rectilinear Translation B. Curvilinear Translation C. Rotation about a Fixed Axis D. General Plane Motion Question 82 (5 PTS) center of zero velocity (IC) and the What is most nearly the distance between the instantaneous center of mass of rod, AB, when the rod reaches the vertical position? A. 5 m B. 9 m C. 24 m D. 50 m

Explanation / Answer

7 B)Curvilinear Translation

8 A) instantaneous center of zero velocity, when rod is vertical, is at B whereas center of mass is at midpoint of rod which is 5m from B

9 D)

Mass moment of inertia = ML2/12

= 25x102/12

approximately equal to 208 kgm2

10) D

Horizontal distance travelled by B=sqrt(102-82)=6m

Work done by force = UF=800x6 = 4800Nm

Vertical distance travelled by center of mass = 5-4=1m upwards

Work done by weight = 25x9.8x-1

= -245 Nm

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