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 is the angular acceleration of the system?
(d) What is the magnitude of the net torque applied to this rotating system in order to cause the angular acceleration calculated in part (c) above?
(e) Calculate the rotational kinetic energy of the rotating system about the z-axis when it rotates at an angular speed of 5 rad/s.
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...
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.
14. Il The four masses shown in FIGURE EX12.13 are connected by massless, rigid rods. a. Find the coordinates of the center of mass. b. Find the moment of inertia about a diagonal axis that passes through masses B and D.
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?
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.
Four masses are arranged as shown. They are connected by rigid, massless rods of lengths 0.840 m and 0.500 m. What torque must be applied to cause an angular acceleration of 0.750 rad/s about the axis shown? B A T Lm A 4.00 kg B 3.00 kg Axis C5.00 kg D 2.00 kg 0.500 m- where L 0.840 | N-m
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.
011. Four particles with masses 4 kg, 6 kg, 4 kg, and 6 kg are connected by rigid rods of negligible mass as shown. The origin is centered on the mass in the lower left corner. The rectangle is 6 m wide and 5 m long. If the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 5 rad/s, calculate the moment of inertia of the system about the z axis. 012. Find the...
Moment of inertia for point masses Three point masses are connected by massless rods. Determine the moment of inertia about an axis perpendicular to the page and that passes through a) the 150g mass, b) the 100 g mass, and c) the 200 g mass.
Three 81.0 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0) , mass B is at (13.2,20.5) , and mass C is at (19.3,12.4) . Find the ? - and ? ‑coordinates of the center of mass of the triangular object. A graph has a vertical Y axis and a...
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?