A hoop of mass M = 3 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to vCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
"w=30kg Befe Hostoles Um, =3 m/s After the indu and o. NVAZ UB₂-15 m/s
I can find iL(0+) and
vC(0+), but I cannot find tm and
Vcm. The final answer is given for Vcm=-4.718 V and tm=1.7018
ms
In the circuit shown below, the switch was open for a very long time and closes at t = 0. Calculate: 1. The initial value of inductor current, IL(0*), 2. The initial value of capacitor voltage, vc(0*), 3. The minimum value of the capacitor voltage, Vcm, 4. The time, tm, when the minimum in p.3 occurs....
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to VCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s 0, determine the displacement of the
QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s...
8. (9 pts.) A 4.00-kg ball, moving to the right at a velocity of +2.00 mis on a frictionless table, collides head-on with a stationary 6.50-kg ball. Find the final velocities of the balls if the collision is completely inelastic (the balls stick together). 9. (12 pts.) A 2.5-kg ball and a 5.0-kg ball have an elastic collision. Before the collision, the 2.5-kg ball was at rest and the other ball had a speed of 3.5 m/s. (a) What is...
At time t, r = 5.20t^2 r = 5.20t^2 i - (3.30t + 8.70t^2) j gives the position of a 3.0 kg particle relative to the origin of an xy coordinate system (r is in meters and t is in seconds). (a) Find the torque acting on the particle relative to the origin at the moment 5.05 s (b) Is the magnitude of the particle's angular momentum relative to the origin increasing, decreasing, or unchanging?
find G1(s)=theta 1(s)/ T(s)
I N-m/rad 0200) T(C) I N-m/rad 1 kg-m2 1 N-m-s/rad 1 N-m-s/rad
I N-m/rad 0200) T(C) I N-m/rad 1 kg-m2 1 N-m-s/rad 1 N-m-s/rad
A string is wrapped around a disk of mass m = 1.8 kg and radius R = 0.10 m. Starting from rest, you pull the string with a constant force F = 7 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.14 m, your hand has moved a distance of d = 0.33 m. Two pucks, one pulled from the center, the other by a string wrapped...
S. The position of a particle is r(t) (-5t2 8t) (3( 1)23)m 2 s? What is the speed of the particle at t 11. A rocket fired with a constant velocity of 40 m/s in the direction 60 east of north loses propulsion after S s and then begins to free fall. Find the maximum height it reached and the maximum distance it traveled? 12. A object of mass 3 kg on a frictionless 30° inclined surface is connected to...