110年 - 110 國立清華大學碩士班考試入學試題_動力機械工程學系／丙組（固體與奈微米力學組）：工程力學（含材力、靜力、動力）#104995

(2) (15 pts) determine the angular displacement θ in degrees for M = 20 N●m.

(2) (10 pts) Obtain the shear stress and plot the Mohr circle.

5. As shown in Figure 5, a 20-g bullet is fired at angle of 15° with the horizontal into a 4-kg wooden block and becomes embedded in it. Knowing that the block and bullet then move up the smooth incline of angle 15° for 1.5 seconds before they come to a stop, determine (1) the magnitude of the initial velocity v_o of the bullet,(2) the magnitude of the impulse of the force exerted by the bullet on the block. (22 pts) 

6. The motion of a uniform slender 2.4-kg rod AB is guided at A and C by collars of negligible mass (Figure 6). The system is released from rest in the positionθ = 45°. Ignore the friction between components and determine the angular velocity ω of rod AB whenθ = 35°. (28 pts)