A mass of 1.4 kg is located at the end of a very light and rigid...
A mass of 1.4 kg is located at the end of a very light and rigid
rod 73 cm in length. The rod is rotating about an axis at its
opposite end with a rotational velocity of 5.6 rad/s.
(a) What is the rotational inertia of the system?
(b) What is the angular momentum of the system?
Homework Answers
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a...
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...
a uniform rod of mass1 = 4.7 kg and legth 80 cm lies horizontal frictionless table,...
a uniform rod of mass1 = 4.7 kg and legth 80 cm lies horizontal frictionless table, with a vertical frictionless axle passing through a point P, located 25cm from center of mass of the rod. Also a particle of mass 2 = 1.2 kg is attached to the rod 5 cm from the far end. A. Find the moment of inertia of the rod only about point P. The system is initially rotating counter clock wise about P at 6.40...
Questions 10-12 A uniform rod of mass M0.6 kg and length L-1 m with a point...
Questions 10-12 A uniform rod of mass M0.6 kg and length L-1 m with a point mass m 0.3 kg attached z to its free end is rotating with angular speed w1 figure 00 rad/, about the z-axis, aa p- the rotational inertia of the system about point P in units of kym. (Fr a uniform rod of M.L 10 (b)0.5 (e) 1.5()25 () 2.0
Q20 (15 points): A bullet of mass m X102 kg is moving with a speed of...
Q20 (15 points): A bullet of mass m X102 kg is moving with a speed of 100 m/s when it collides with a rod of mass mR 5 kg and length L m (shown in the figure). The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass. The bullet imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts...
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is...
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is rotating with a constant angular velocity of w = 38 rad/s. A thin rectangular rod with mass m2 = 3.7 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? kg-m2/s Submit...
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational veloc...
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk? (See fig. 8.15.) b. What is the angular momentum of the disk?
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk?...
A rod without a mass is 2 meters in length. On each end of the rod...
A rod without a mass is 2 meters in length. On each end of the rod is a 2kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s.
4A uniform rod of length L-2.5 m and mass M- 5.8 kg is free to rotate...
4A uniform rod of length L-2.5 m and mass M- 5.8 kg is free to rotate about the y axis at one opposite end of the rod with initial speed 3.4 m/s in a direction that is perpendicular to the rod. The sphere rebounds off of the rod in the opposite direction with a speed of 1.8 m/s. end, as shown. A steel sphere of mass m = 1.7 kg is thrown at the 72 a. Calculate the moment of...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...
Questions 10-12 A uniform rod of mass M0.6 kg and length L-1 m with a point mass m 0.3 kg attached z to its free end is rotating with angular speed w1 figure 00 rad/, about the z-axis, aa p- the rotational inertia of the system about point P in units of kym. (Fr a uniform rod of M.L 10 (b)0.5 (e) 1.5()25 () 2.0
Q20 (15 points): A bullet of mass m X102 kg is moving with a speed of 100 m/s when it collides with a rod of mass mR 5 kg and length L m (shown in the figure). The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass. The bullet imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts...
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is rotating with a constant angular velocity of w = 38 rad/s. A thin rectangular rod with mass m2 = 3.7 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? kg-m2/s Submit...
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk? (See fig. 8.15.) b. What is the angular momentum of the disk?
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk?...
A rod without a mass is 2 meters in length. On each end of the rod is a 2kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s.
4A uniform rod of length L-2.5 m and mass M- 5.8 kg is free to rotate about the y axis at one opposite end of the rod with initial speed 3.4 m/s in a direction that is perpendicular to the rod. The sphere rebounds off of the rod in the opposite direction with a speed of 1.8 m/s. end, as shown. A steel sphere of mass m = 1.7 kg is thrown at the 72 a. Calculate the moment of...
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