Four identical particles (mass of each = 0.24 kg) are placed at the vertices of a rectangle (2.0 m × 3.0 m) and held in those positions by four light rods which form the sides of the rectangle. What is the moment of inertia of this rigid body about an axis that passes through the center of mass of the body and is parallel to the shorter sides of the rectangle? a. 2.4 kg⋅m2 b. 2.2 kg⋅m2 c. 2.7 kg⋅m2 d. 1.9 kg⋅m2 e. 8.6 kg⋅m2

Four identical particles (mass of each = 0.24 kg) are placed at the vertices of a rectangle (2.0 m × 3.0 m) and held in those positions by four light rods which form the sides of the rectangle. What is the moment of inertia of this rigid body about an axis that passes through the center of mass of the body and is parallel to the shorter sides of the rectangle? a. 2.4 kg⋅m2 b. 2.2 kg⋅m2 c. 2.7 kg⋅m2 d. 1.9 kg⋅m2 e. 8.6 kg⋅m2

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 92AP: A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an...

See similar textbooks

Similar questions

A discus thrower rotates with a discus in his hand before letting it go. (a) How does his moment of inertia change after releasing the discus? (b) What would be a good approximation to use in calculating the moment of inertia of the discus thrower and discus?
A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an angular velocity of 240 rev/min. What is the angular momentum of the stick if the rotation axis (a) passes through the center of the stick? (b) Passes through one end of the stick?
Lily is a 50 kg diver. At the instant of takeoff, her angular momentum about her longitudinal axis is 20 kgm2/s. Her radius of gyration about the longitudinal axis is 0.4 m at this instant. During the dive, Lily tucks and reduces her radius of gyration about the longitudinal axis to 0.2 m.a. At takeoff, what is Lily’s moment of inertia about her longitudinal axis?b. At takeoff, what is Lily’s angular velocity about her longitudinal axis?c. After Lily tucks, what is her moment of inertia about her longitudinal axis?d. After Lily tucks, what is her angular velocity about her longitudinal axis?
A fast spinning gyroscope spinning in space has a force F applied to it perpendicular to is axis of rotation at a distance r from its center of mass for a time t. a. Find an expression for how much has the orientation of the gyroscope changed in this time. b. If the angular momentum of the gyroscope about its axis of rotation is given by L=0.020 kg m' s, the force F = 0.40 N, and r = 5.0 cm, what is the angular displacement of the angular momentum vector if this torque is applied for 10 seconds? -1 %3D %3D %3D page
Two 2.60 [kg] balls are attached to the ends of a thin, massless rod of length 75.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 2.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 2.00 [m/s] then sticking to it.A. What is the angular speed of the system just after the clay ball hits?B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before? C. What is the angular velocity of the system as the clay ball passes through its lowest point?
Two 2.50 [kg] balls are attached to the ends of a thin, massless rod of length 72.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 1.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 1.00 [m/s] then sticking to it. A. What is the angular speed of the system just after the clay ball hits? B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before? C. What is the angular velocity of the system as the clay ball passes through its lowest point?
An object is rotating with an angular momentum of magnitude 20.0 kg∙m2/s in a direction directly east. A torque of magnitude 10.0 N∙m acts in a direction 30° north of east acts on the object for 5.00 s. What is the angular momentum after the torque has acted? a. 68.1 kg∙m2/s, 21.5° north of east b. 32.0 kg∙m2/s, 51.3° north of east c. 45.0 kg∙m2/s, 51.3° north of east d. 25.0 kg∙m2/s, 51.3° north of east
A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. Steven runs tangent to the merry-go-round at 5.0 m/s, in the same direction that is turning, and jumps onto the outer edge. What is the merry-go-round's angular velocity, in rpm, after Steven jumps on? Steven's mass = 30 kg. I (merry-go-round) = MR 2 4.10 гpm 27.7 rpm 22.3 rpm 16.8 rpm 8.72 rpm
nd on $9 A student has a sphere and would like to know if it is a solid sphere, a spherical shell, or a hollow sphere (a sphere with a spherical hole in the middle). To experiment she rolls it down a ramp during which the center of mass of the sphere changes in elevation by 10 cm. It rolls without slipping. She measures the final speed at the bottom to be 1.08 m/s. What kind of sphere is it? Ospherical shell solid sphere O L P 10:59 PM
A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. Steven runs tangent to the merry-go-round at 5.0 m/s, in the same direction that is turning, and jumps onto the outer edge. What is the merry-go-round's angular velocity, in rpm, after Steven jumps on? Steven's mass = 30 kg. MR I (merry-go-round) = O 4.10 rpm O 27.7 rpm 22.3 rpm 16.8 rpm 8.72 rpm
a. Calculate the angular momentum of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.466 kg.m². kg.m²/s b. He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia if his angular velocity drops to 2.13 rev/s. kg-m2 c. Suppose instead he keeps his arms in and allows friction with the ice to slow him to 3.00 rev/s. What average torque was exerted if this takes 20 seconds? N-m
The 11.6-lb steel cylinder A and the 17.7-lb wooden cart B are at rest in the position shown when the cylinder is given a slight nudge, causing it to roll without sliding along the top surface of the cart. Neglecting friction between the cart and the ground, determine the velocity of the cart as the cylinder passes through the lowest point of the surface at C. 6 in. C B The velocity of the cart as the cylinder passes through the lowest point of the surface at C is vB=| ft/s←.