Chapter 4, Problem 4/010 Each of the five connected partices has a mass of 0.6 kg,...
A cylinder of mass 11.0 kg and radius 0.260m rolls without slipping on a horizontal surface. At a particular instant, its center of mass has a speed of 7.30 m/s. Its rotational kinetic energy about its center of mass is then 147J. a) What is in kg m2 its moment of inertia about its center of mass? b) What is in J its linear kinetic energy at that instant? c) What is in J its total kinetic energy at that...
Two small objects each of mass m = 0.2 kg are connected by a lightweight rod of length d = 1.5 m (see the figure). At a particular instant they have velocities whose magnitudes are v_1 = 36 m/s and v_2 = 50 m/s and are subjected to external forces whose magnitudes are F_1 = 63 N and F_2 = 26 N. The distance h = 0.4 m, and the distance w = 0.6 m. The system is moving in...
Two point particles are moving in the x,y plane as shown. The mass m1= 3.90 kg is located at ( 2.00m,1.00m) and has the velocity v1= 3.00 m/s in +y direction. The mass m2= 2.40 kg is located at (0,1.00m) and has the velocity v2= 2.00 m/s in +x direction. (Figure 1) Part A Part complete Find the magnitude of their total angular momentum (about the origin O). .......k g ⋅ m 2 / s Part B Part complete What is the direction...
Problem 1 A 20-kg base satellite deploys three sub-satellites, each of which has its own thrust capabilities, to perform research on tether propulsion. The masses of sub-satellites A, B, and Care 4 kg, 6 kg, and 8 kg, respectively, and their velocities expressed in m/s are given by: VA = 41 - 2] + 2k Vg = 1+4) Vc = 21+ 2) + 4k 35 m 25 m 1. At the instant shown, what is the angular momentum Ho of...
1. A solid cylinder has a mass of 5 kg and a radius of 30 cm. A torque of 40 Nm is applied to the cylinder. What will be its angular acceleration? a) 37.5 rad/s2 b) 59.3 rad/s2 c) 89.0 rad/s2 d) 178 rad/s2 2. When an object is in static equilibrium a) the net force on it is zero b) the net torque on it is zero c) the net force and net torque are zero d) not enough...
An airplane of mass 10,000 kg is flying over level ground at a constant altitude of 4.30 km with a constant velocity of 165 m/s west. Its direction is currently straight toward the top of a mountain. At a particular instant, a house is directly below the plane at ground level. (a) At this instant, what is the magnitude of the plane's angular momentum relative to the house (in kg m-/s)? kg. m/s (b) As the plane continues its constant...
4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry-go-round nwhich is rotating at 2 rads Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration ofk,-06 m 0.75 m 0.75 m 2 rad/s Use 4 significant figures Be carefiul with units and signs. a. Initial total angular momentum pts. b. If child A jumps off hoeizoetally in the-a directice with a speed of...
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...
Each of the following objects has a radius of 0.145 m and a mass of 2.60 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 41.8 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg · m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg · m2/s (d) a hollow spherical shell kg · m2/s
help
which has a mass of 1.70 x 102 kg and a radius of 1.2 m, is spinning at a constant ra 2 rev/s. Treat the two children and the as a system, (a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.) 42560 kg m2/s ) Calculate the total kinetic energy of the system 427 86 (e) Both children walk half the distance toward the center of the merry-go-round. Calculate the final...