15. Calculate the moment of inertia of a point object of mass 10.0 kg moving in...
You observe a 2.0 kg particle moving at a constant speed of 3.6 m/s in a clockwise direction around a circle of radius 4.0 m. (a) What is its angular momentum about the center of the circle? kg·m2/s (b) What is its moment of inertia about an axis through the center of the circle and perpendicular to the plane of the motion? kg·m2 (c) What is the angular velocity of the particle? rad/s
PART A A particle of mass 2.5 kg is moving with v =(-2.3i+1.4j )(m/s). At one instant,it is located at r = (2i+4j) m. Calculate the angular momentum of the particle at that instant with respect to the origin. Answer: 30 kgm2/s? PART B Find the angular momentum of a solid cylinder rotating with 12 rad/s angular speed around the axis passing through its center of mass. The radius of the cylinder is 15 cm, its length is 30 cm...
We know the heart shaped object has a moment of inertia of I =
0.5kgm^2. Calculate the change in angular momentum (L) of the
object in 5s (~L=~τ∆t). This question deals with angular momentum
conservation. Two girls of mass 100 kg each stand at the center of
a rotating merry-go-round (MGR) in the shape of a disk of radius 1
m and mass 10 kg. The platform rotates atω= 0.40 rad/s. Let’s call
this configuration instant A.
A) Determine the...
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of inertia for a hoop (radius 1.2 m) rotating about a Cylinder axis (mass 3 kg) and three rods of length 1.2 m, rotating about their center perpendicular to their length, each of mass o.8 kg. If the wheel is rotating at an angular speed of 2.5 rad/s, what is the wagon wheel's kinetic energy as it spins in place?...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
If a particle of mass m = 0.2 kg is performing a circular motion with angular velocity ω = 4.0 rad/s and a radius of r = 1.2 m, find: (a) the moment of inertia of the particle, (b) its linear velocity around the circle, (c) its centripetal (radial) acceleration, and (d) its angular momentum
If an object has a moment of inertia 28 If an object has a moment of inertia 28 kg.m2 and the magnitude of its rotational angular momentum is 77 kg • m²/s, what is its rotational kinetic energy? and the magnitude of its rotational angular momentum is 77 kg what is its rotational kinetic energy? Krot =
One simple way to measure the moment of inertia of an irregular object is shown in the diagram. The object is mounted on a frictionless axis. A light string is wrapped around the object, passes over a light pulley (so it has negligible moment of inertia itself), and then connected to mass M = 40.6 kg. The system is released from rest. After mass M has fallen distance 4.05 m it is moving 2.67 m/s and the object has reached...
You are given that the “heart
shaped object” in Fig. 4 has a moment of inertia I = 0.5kgm2. Use
this to calculate
the change in angular momentum L of the object in 4s. Hint: L⃗ =
⃗τ∆t.
(b) This question deals with angular momentum conservation. Two
boys of mass 100 kg each stand at the center of a rotating
merry-go-round (MGR) in the shape of a disk of radius 1 m and mass
10 kg. The platform rotates at...
A) Find the moment of inertia of a 2 meter long stick with a mass of 14 kg, if it is spun about the center of the stick B) Find the rotational kinetic energy of a spinning (not rolling) bowling ball that has a mass of 7 kg and a radius of 0.10 m moving at 7 m/s. HINT: v = rω C) An ice skater with a moment of inertia of 10 kg m2 spinning at 19 rad/s extends...