(Solved): (10\%) Problem 9: A box with mass \( 2 M \) is placed on a horizontal frictionless surface. An idea ...

(10\%) Problem 9: A box with mass \( 2 M \) is placed on a horizontal frictionless surface. An ideal massless string connected to the box is parallel to the horizontal surface until it passes over an ideal pulley. A second box with mass \( M \) is suspended from the other end of the string. A force with magnitude \( F \) and directed towards the left at an angle \( \theta \) above the horizontal is applied to the \( 2 M \) box. A 50\% Part (a) Use the interactive area below to draw the Free Body Diagram to describe the suspended box with mass \( M \). For this task, assume that the weight of the suspended \( 1 M \) box is sufficient to cause the \( 2 M \) box to accelerate to the right. (The actual behavior will depend upon the magnitude of the applied force, \( F \), and the angle, \( \theta \).) In this problem we will use the notation \( F_{\text {g. IM and }} F_{\mathrm{g} 2 \mathrm{M}} \) to represent the weights of the \( 1 M \) and \( 2 M \) boxes, respectively. A 505 Part (b) Use the interactive area below to draw a Free Body Diagram to describe the \( 2 M \) box resting on the horizontal frictionless surface. For this task, assume that the weight of the suspended \( 1 M \) box is sufficient to cause the \( 2 M \) box to accelerate to the right. (The actual behavior will depend upon the magnitude of the applied force, \( F \), and the angle, \( \theta \).) In this problem we will use the notation \( F_{g .1 M} \) and \( F_{2,2 M} \) to represent the weights of the \( 1 M \) and \( 2 M \) boxes, respectively. Hints: 45 defoction per hint. Hints temaining: 1 Feedtarki 55 delsction per feedhack.