Problem 2: Two gears, Gear A and Gear B, are connected by a belt as shown in Figure 1. Both gears rotate about their respective centers. Initially, at time t = 0, the gears are both at rest. The angular acceleration of Gear A is α₁ = (0,0,3) rad/sec². The radii of Gear A and B are 2 m and 1 m, respectively. Assume that no slipping occurs between the belt and the gears. L. B Bett Gear B Gear A 2 m =(0,0,3)rad/sec² WA(0)=(0,0,0)rad/sec Figure 1: Two gears connected by a belt. Given the information above, answer the following questions: i) What is the angular velocity of Gear A at time t = 3 seconds? ii) iii) What is the speed of point A at time t = 3 seconds? What is the angular velocity of Gear B at time t = 3 seconds? Hint: Because of the belt, the speed of points A and B are the same.

Problem 2: Two gears, Gear A and Gear B, are connected by a belt as shown in Figure 1. Both gears rotate about their respective centers. Initially, at time t = 0, the gears are both at rest. The angular acceleration of Gear A is α₁ = (0,0,3) rad/sec². The radii of Gear A and B are 2 m and 1 m, respectively. Assume that no slipping occurs between the belt and the gears. L. B Bett Gear B Gear A 2 m =(0,0,3)rad/sec² WA(0)=(0,0,0)rad/sec Figure 1: Two gears connected by a belt. Given the information above, answer the following questions: i) What is the angular velocity of Gear A at time t = 3 seconds? ii) iii) What is the speed of point A at time t = 3 seconds? What is the angular velocity of Gear B at time t = 3 seconds? Hint: Because of the belt, the speed of points A and B are the same.