
0. Masses are distributed in the 1.-plane as follows: 6.0 k at(0, 0) m, 4.0 kg...
A wheel of moment of inertia of 3.00 kg.m2 starts from rest and accelerates under a constant torque of 3.00 N.m for 4.00 s. The wheel's rotational kinetic energy at the end of 4.00 s is = A wheel starts at rest, and has an angular acceleration of 4 rad/s2. After 4.0 s it will have an angular velocity of ? rad/s A wheel starts at rest, and has an angular acceleration of 3.5 rad/s2. After 2.0 s it will have...
Three masses are positioned at the following coordinates 3.0 kg at (4.0 m, -5.0 m); 6.0 kg at (-7.0 m, 3.0 m); and 1.0 kg (2.0 m, 2.0 m). Calculate the center of mass of the system.
A disk has a rotational inertia of 6.0 kg ˑm 2 and a constant angular acceleration of 2.0 rad/s 2. If it starts from rest the work (in J) done during the first 6.0 s by the net torque acting on it is:
Two objects, A with mass mA=0.25 kg and B with mass mB=1.25 kg, are held at rest on a spring is released, A has a kinetic energy of 22 J and B has a kinetic energy of A) 110 J g is compressed between them. Immediately after the B) 5.5J C) 11 J D) 4.4 J E) 19.4 J 18. A certain wheel has a rotational inertia of 12 kg m2. As it turns through 5.0 rev its angular velocity...
At time t = 0, a 4.0 kg particle with velocity v = (5.0 m/s) i - (6.0 m/s) j is at x = 6.0 m, y = 5.0 m. It is pulled by a 2.0 N force in the negative x direction. What is the angular momentum of the particle about the origin? (Express your answer in vector form.) What torque about the origin acts on the particle? (Express your answer in vector form.) At what rate is the...
Three masses are in a configuration as follows: M1 = 1.0 kg at coordinate ( 0, 0) M2 = 2.0 kg at coordinate ( 3.0 m, 0) M3 = 2.0 kg at coordinate ( 0, 4.0 m) What is the total gravitational potential energy of the system?
1) A point on the rim of a 0.15-m-radius rotating disk has a centripetal acceleration of 4.0 m/s2. What is the angular speed of a point 0.075 m from the center of the disk? 2) A point on the rim of a 0.30-m-radius fan blade has centripetal acceleration of 0.35 m/s2. Find the centripetal acceleration of a point 0.040 m from the center of the same wheel. 3) Masses are distributed in the xy-plane as follows: 2.0 kg at (0.0,...
6. a) A 4.0-kg block starts from rest on the positive z axis 5.0 m from the origin and thereafter has an acceleration given by À = 3i+5k in m's? Find its angular momentum at the end of 3.0 s about the origin: b) A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg. m2. If the arms are pulled in so the moment of inertia decreases to 1.80 kg • m2,...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr = 1000 kg*m2) with a constant force F = 90 N applied tangentially to the edge of the merry-go-round (i.e., the force is perpendicular to the radius). The merry-go-round resists spinning with a frictional force of f = 10 N acting at a radius of 1 m and a frictional torque τ = 15 N*m...
A 0 4 kg flywheel, I = 1/2mr^2, accelerates from rest to 1200 rev/min in 6.0 seconds. If r = 0.4 m, find: a) its angular acceleration in rad/sec^2 b) its rotational kinetic energy at t = 6.0 sec.