a(rad's/s) 50.0 40.0 30.0 20.0 10.0 2.0 4.0 6.0 t(s)

7. For a given experiment, the students know how much the angular momentum of the system has changed after a specific time interval. The students create a series of graphs for each experiment. The students must determine if the change in angular momentum of a given system is equal to the angular impulse applied to the system. How should the students use data from a particular graph to make the determination by using only the graph? A Calculate the slope of an angular velocity versus time graph and see if it equals the angular acceleration. Calculate the slope of an angular position versus time graph and see if it equals the average angular velocity. Calculate the slope of a graph of the change in angular momentum versus the product of the net torque and C the time interval and determine if the slope is equal to one. Calculate the slope of an angular momentum versus time graph and see if it equals the net torque.

As part of a carnival game, a mp 0.578 kg ball is thrown at a stack of 17.3 cm tall, 0.343 kg objects and hits with a = 11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, m. perfectly horizontal velocity of vp.i the ball has a horizontal velocity of Ub.f = 3.85 m/s in the same direction, the topmost object has an angular velocity of @. = 2.43 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 12.1 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? b,i I, = 0.228 kg-m2

Two identical meter sticks are connected as shown in the diagram. The origin of the coordinate system is located where the two meter sticks are joined. y 1 m 1 m What is the moment of inertia of the two sticks about an axis perpendicular to meter sticks and passing through the center of mass of the whole system? Assume each meter stick has a mass m and length L.

The graph below is for a 20 kg.m2 object. Find the angular impulse over the entire time shown.

Consider a wood block of mass 1.00 kg, tied to a massless string of length 2.00 m, that is shot with a bullet of mass 5.00 g and a speed v = 400 m/s. The bullet goes through the block and continues out the other side, but with a smaller velocity.Treat the block as a point-like mass. i. What is the angular momentum of the bullet about the point where the string is tied? ii. If the block eventually rises to a height 0.45 m above its initial height, what is its velocity just after the collision? What is its angular mometum? iii. What is the angular momentum of the bullet immediately after the collision, since angular momentum is conserved? What is the velocity of the bullet after the collision?

A clever witch is social distancing during trick-or-treating by sticking her pumpkin-shaped bucket full of candy on the end of her broomstick. Her broomstick has a length of L = 1.2 m and she holds it Broomstick ly. The broomstick has a mass of 1.10 kg and the pumpkin has a mass of 2.4 kg. The witch holds her hands a distance of d = 0.80 m apart. L d. What is the force from the hand on the end of the broom? This is the hand on the left in the figure. FL = What is the force from the hand closer to the middle of the broom? This is the hand on the right in the figure. FR = N

Use the graph for the inelastic collision shown above to solve this problem. If you were to allow the system to continue spinning after the collision, at what time (in s) on the x-axis would the system come to a complete stop, assuming the rate of decrease you observe remains constant? Round your answer to 2 decimal places.

2. A mass is moving on xy plane as shown in the Figure. Find the angular momentum of the mass about the origin. y (0, 70) (- 50, 0) (0,0) v = 100 m/s m = 2 kg

8. The image below depicts a street light standard that has been blown off of vertical by high winds during storm. A force of 1000N is being applied to the standard in order to "upright" the standard. Determine the magnitude and sense of the Moment about point A at the instant depicted. N-m. Be sure to include whether the Moment is Moment = Positive or Negative for this 2D problem. B 6 m 75° 3 m