Begin your response to QUESTION 1 on this page. - Toy 1. (7 points, suggested time 13 minutes) A toy consists of two identical solid spheres connected by a string with negligible mass. The toy is thrown at an angle above the horizontal (not straight up) such that the string remains taut and both spheres are revolving counterclockwise in a vertical plane around the center of the string, as shown above. (a) Sketch graphs of the horizontal and vertical components of the velocity of the center of the string as a function of time, from the instant the spheres are released at time t = 0 until the instant the system returns to its initial height at time ty. Take the positive direction to be toward the right for the horizontal component and the positive direction to be upward for the vertical component. Horizontal Component V x Vertical Component Unauthorized copying or reuse of this page is illegal. Page 2 GO ON TO THE NEXT PAGE Use a pencil or a pen with black or dark blue ink. Do NOT write your name. Do NOT write outside the bContinue your response to QUESTION 1 on this pay iii. When the above the ho of the string The figure above shows the toy at the instant the center of the string reaches the top of its trajectory. This is. side view: the sphere on the left is higher than the sphere on the right. 1. On the dot below, which represents the left sphere only, draw and label the forces (not components) exerted on the left sphere at this instant. Represent each force by a distinct arrow starting on, and pointing away from the dot. The dashed line is drawn at the same angle as the string. Left Sphere ii. On the dot below, which represents the whole toy (the spheres-string system), draw and label the forces (not components) that act on the system at this instant. Represent each force by a distinct arrow starting on, and pointing away from, the dot. The dashed line is drawn at the same angle as the string. Whole Toy Unauthorized copying or reuse of this page is illegal. Page 3 GO ON TO THE NEXT PAGE. Use a pencil or a pen with black or dark blue ink. Do NOT write your name. Do NOT write outside the box