Part A-Linear momentum Calculate the magnitude of the linear momentum of the disk for the given velocities. Express your answer to three significant figures in slug-foot per second. ▸ View Available Hint(s) L 146 slug ft/s Submit Previous Answers ✓ Correct Part B - Angular momentum about G Calculate the magnitude of the angular momentum about the disk's center of gravity, G, for the given dimensions and angular velocity. Express your answer to three significant figures in slug-foot squared per second. ▸ View Available Hint(s) HG 110 slug ft2/s Submit Previous Answers ✓ Correct ▾ Part C - Change in linear momentum Review Learning Goal: As shown, a thin metal disk is rolling without slipping along a flat horizontal surface, its velocity in the x direction is v₁ = 34.5 ft/s, and its angular velocity is w₁ = 23.0 rad/s. The disk is 3.00 ft in diameter, has a thickness of 0.60 in, and has a density of 12 slug/ft³. Positive angular velocity is in the counterclockwise direction. (Figure 1) Figure Figure W2 <1 of 2 > < 2 of 2> The disk from Part A is now moving in the opposite direction with a velocity of v₂ = 18.0 ft/s and an angular velocity of w₂ = 12.0 rad/s in the direction shown in (Figure 2). What is the change in the disk's linear momentum? Express your answer to three significant figures in slug-foot per second. ▸ View Available Hint(s) AL = -223 i slug - ft/s Part D - New angular velocity The disk from Part C, which had an angular velocity of w₂ = 12.0 k rad/s, has undergone a change in angular momentum, AHIC =-14.7k slug. ft2/s. Calculate the new angular velocity of the disk. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) View Available Hint(s) Hint 1. Angular momentum vector Angular momentum is a vector quantity and has the same direction as its angular velocity, or perpendicular to the plane in which is acts. Because the angular momentum is a vector, its sign and the sign of any change in momentum dictate the direction in which it acts. In three dimensions, the angular momentum must be broken into components in the same manner as the linear momentum. The equation for the change in angular momentum isHp1 + AHp = Hp2- Hint 2. Calculate the initial angular momentum about the instant center Calculate the initial angular momentum about the instant center, recalling that the initial angular velocity is 12.0 k rad/s. ΜΑ ? rad W3= Value k S

Part A-Linear momentum Calculate the magnitude of the linear momentum of the disk for the given velocities. Express your answer to three significant figures in slug-foot per second. ▸ View Available Hint(s) L 146 slug ft/s Submit Previous Answers ✓ Correct Part B - Angular momentum about G Calculate the magnitude of the angular momentum about the disk's center of gravity, G, for the given dimensions and angular velocity. Express your answer to three significant figures in slug-foot squared per second. ▸ View Available Hint(s) HG 110 slug ft2/s Submit Previous Answers ✓ Correct ▾ Part C - Change in linear momentum Review Learning Goal: As shown, a thin metal disk is rolling without slipping along a flat horizontal surface, its velocity in the x direction is v₁ = 34.5 ft/s, and its angular velocity is w₁ = 23.0 rad/s. The disk is 3.00 ft in diameter, has a thickness of 0.60 in, and has a density of 12 slug/ft³. Positive angular velocity is in the counterclockwise direction. (Figure 1) Figure Figure W2 <1 of 2 > < 2 of 2> The disk from Part A is now moving in the opposite direction with a velocity of v₂ = 18.0 ft/s and an angular velocity of w₂ = 12.0 rad/s in the direction shown in (Figure 2). What is the change in the disk's linear momentum? Express your answer to three significant figures in slug-foot per second. ▸ View Available Hint(s) AL = -223 i slug - ft/s Part D - New angular velocity The disk from Part C, which had an angular velocity of w₂ = 12.0 k rad/s, has undergone a change in angular momentum, AHIC =-14.7k slug. ft2/s. Calculate the new angular velocity of the disk. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) View Available Hint(s) Hint 1. Angular momentum vector Angular momentum is a vector quantity and has the same direction as its angular velocity, or perpendicular to the plane in which is acts. Because the angular momentum is a vector, its sign and the sign of any change in momentum dictate the direction in which it acts. In three dimensions, the angular momentum must be broken into components in the same manner as the linear momentum. The equation for the change in angular momentum isHp1 + AHp = Hp2- Hint 2. Calculate the initial angular momentum about the instant center Calculate the initial angular momentum about the instant center, recalling that the initial angular velocity is 12.0 k rad/s. ΜΑ ? rad W3= Value k S

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 70P: (a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we...

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