Rotational Kinetic Energy: The L-shaped object shown in the figure consists of three small masses connected by extremely light rods. Assume that the masses shown are accurate to three significant figures. How much work must be done to accelerate the object from rest to an angular speed of 3.25 rad/s (a) about the x-axis, (b) about the y- axis?
Rotational Kinetic Energy: The L-shaped object shown in the figure consists of three small masses connected by extremely light rods.
The rectangular object in the figure below consists of four
masses connected by light rods. What power must be applied to this
object to accelerate it from rest to an angular speed of 2.63 rad/s
in 5.2 s for the following cases. Give answer in 4 significant
figures
(a) the object is rotated about the x-axis ( )W
(b) the object is rotated about the y-axis ( )W
(c) the object is rotated about the z-axis (which is through the...
The rectangular object in the figure below
consists of four masses connected by light rods. What power must be
applied to this object to accelerate it from rest to an angular
speed of 3.38 rad/s in 7.6
s for the following cases.
(a) the object is rotated about the
x-axis
W
(b) the object is rotated about the
y-axis
W
(c) the object is rotated about the
z-axis (which is through the
origin and perpendicular to the page)
W
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...
The L-shaped object in Figure 11-27 consists of three
massesconnected by light rods.
Figure 11-27
(a) What torque must be applied to this object to
giveit an angular acceleration of 1.21rad/s2 if it is
rotated about the x axis?
N·m
(b) What torque must be applied to this object to give it anangular
acceleration of 1.21rad/s2 if it is rotated about the
y axis?
N·m
(c) What torque must be applied to this object to give it anangular
acceleration of...
The rigid object shown in the figure consists of three balls, with M = 1.6 [kg], and three connecting rods, L = 0.60 [m], and 0 = 30°. The balls may be treated as point particles, and the connecting rods have negligible mass. Determine the rotational kinetic energy of the object if it has an angular speed of 1.2 [rad]/[s] about: (a) an axis that passes through point P and is perpendicular to the plane of the figure. (b) an...
The three 200 g masses in the figure (Figure 1) are connected by massless, rigid rods. Part AWhat is the triangle's moment of inertia about the axis through the center? Express your answer to two significant figures and include the appropriate units. Part BWhat is the triangle's kinetic energy if it rotates about the axis at 6.0 rev/s? Express your answer to two significant figures and include the appropriate units.
The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.40 rad/s. (a) Calculate the moment of inertia of the system about the z axis.(b) Calculate the rotational kinetic energy of the system.
The three masses shown in (Figure 1) are connected by massless, rigid rods. Part A Find the coordinates of the center of gravity. Part B Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. Part C Find the moment of inertia about an axis that passes through masses B and C.
3. Three masses are connected by thin rigid rods as shown below, and are initially at rest on the top of a horizontal table. A circular blob of clay (velocity shown immediately before the collision) hits and sticks to one of the masses as shown. The mass of the rod can be neglected and the object is NOT pinned down to the table 3 m 20 m/s i 40 2 kg Calculate the linear velocity of the center of mass,...
The three 240 g masses in the figure (Figure 1)are connected by massless, rigid rods. Part A What is the triangle's moment of inertia about the axis through the center? Part B What is the triangle's kinetic energy if it rotates about the axis at 4.0 rev/s?