A 1.70-kg particle moves in the xy plane with a velocity of = (4.10 1-4.00 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is F (1.50 +2.20 j) m. + j+ k) kg - m²/s
Q: At a particular instant, a 1.0 kg particle's position is r = (3.0î - 4.0j + 5.0k) m, its velocity is…
A:
Q: Determine the magnitude of the angular momentum of a 100-kg particle when the position vector r =…
A: mass of particle = 100 kg position vector = 4i^ - 6j^ mvelocity = 3i^ - 8k^ m/s
Q: 2.50 kg particle that is moving horizontally over a floor with velocity (-3.00 m/s)ˆj undergoes a…
A: The total angular momentum of the system must be conserved. The position vector of the collision is…
Q: A particle of mass 6.2 kg has position vector r = (1.9î – 3.4j) m at a particular instant of time…
A: Given Data:- Mass of the particle is m=6.2 kg Position vector of the particle is r→=1.9i^-3.4j^ m…
Q: For the following position [r] and force [F], determine the angle and the magnitude of the force…
A:
Q: A 1.10-kg particle moves in the xy plane with a velocity of v = (3.90 î - 3.70 j) m/s. Determine the…
A:
Q: cion 4 A 10 kg particle moves in the xy plane with a velocity of v = (3.2 i -6.1 j) m/s. Determine…
A: Given: mass m=10 kgv→=3.2 i^-6.1 j^ m/sr→=3i^+2.2 j^ m
Q: Two particles, each of mass 2.75 × 104 kg and speed 7.10 m/s, travel in opposite directions along…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: A 1.50-kg particle moves in the xy plane with a velocity of v = (4.20 i + 3.60 j) m/s. Determine the…
A:
Q: Consider an oxygen molecule (O2) rotating in the xy plane about the z axis. The axis passes through…
A:
Q: A particle of mass 1.30 kg is moving with velocity = (7.41 +5.6j) m/s. Find the angular momentum L…
A:
Q: A particle is acted on by two torques about the origin: τ→1 has a magnitude of 8.4 N·m and is…
A:
Q: A sanding disk with rotational inertia 1.7 x 10-3 kg · m² is attached to an electric drill whose…
A:
Q: A small particle of mass 0.82 kg is being whirled in a horizontal circle at the end of a 1.2 m long…
A:
Q: A particle of mass 6.2 kg has position vector r = (2.2î - 3.4j) m at a particular instant of time…
A:
Q: Suppose the particles shown below have masses m, = 0.18 kg, m, = 0.36 kg, m, = 0.54 kg, m, = 0.72…
A: The given masses and there respective velocities are m1=0.18 kg; m2=0.36 kg; m3=0.54 kg; m4=0.72…
Q: A sanding disk with rotational inertia 1.3 x 10-3 kg - m² is attached to an electric drill whose…
A: Given,I=1.3×10-3 kg.m2τ=12 N‐m The relation between the angular momentum and angular velocity if…
Q: A 2.0 kg particle P has a position vector r of magnitude 3.0 m and angle θ1=45º and a velocity…
A: Given that,Mass of particle, m=2 kgposition vector, r=3.0 mVelocity, v=4 m/sForce, F=2.0 N
Q: At the instant of the figure, a 6.90 kg particle P has a position vector i of magnitude 6.00 m and…
A:
Q: Determine the angular momentum of a 74-g particle about the origin of coordinates when the particle…
A:
Q: A particle of mass 4.4 kg has position vector r= (1.9î – 3.4j) m at a particular instant of time…
A:
Q: From classical physics, we know that angular momentum, moment of inertia, and angular velocity are…
A: Concept:As mentioned in the Question the relationship between angular momentum, a moment of inertia,…
Q: As shown, three particles on a rigid rod of negligible mass are rotating about the x axis with an…
A:
Q: At a particular instant, a 1.0 kg particle's position is r = (6.0f - 5.0j + 3.0k) m, its velocity is…
A: Please see the answer below.
Q: V) coordinates of (6.09, -5.15) m. Just then, in unit-vector notation, what is its angular momentum…
A:
Q: The position vector of a 2.5 kg particle is given by r=4.0 i +3.0 fĵ, where r is in meters and t is…
A:
Q: A 2 kg uniform rod with a length of 1 meter lays horizontally atop a frictionless table, hinged…
A:
Q: The position vectors of a particle of mass m kg as a function of time are given. Assume r is in…
A:
Q: r = (4i + 7tj) m 'is given with. Calculate the angular momentum of the particle The displacement…
A:
Q: A disk of mass M is spinning freely at 9.11 rad/s when a second identical disk, initially not…
A: Given data: Angular velocity, ω=9.11 rad/s
Q: The position vector and linear momentum of an object are given by: r = î+ 2ĵ+ 3k p = 2î + ĵ - k and…
A:
Q: The figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a…
A:
Q: At one instant, force F = 1.37j N acts on a 0.556 kg object that has position vector - 3.78i 3.78k m…
A:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
- A 1.91 kg particle-like object moves in a plane with velocity components vx = 78.6 m/s and vy = 91.3 m/s as it passes through the point with (x, y) coordinates of (1.15, -2.20) m. Just then, in unit-vector notation, what is its angular momentum relative to (a) the origin and (b) the point (-1.20, -1.20) m?In the instant of the figure, two particles move in an xy plane. Particle P, has mass 6.73 kg and speed v, = 4.53 m/s, and it is at distance = 9.78 m from point O. Particle P2 has mass 2.02 kg and speed v2 = 6.42 m/s, and it is at distance d2 = 6.36 m from point O. What is the magnitude of the net angular momentum of the two particles about O? L. V2 -d2 P2A 500-g particle is located at the point 7 = 4m +3m 1 - 2m and is moving with a velocity = 5 m/s 1-2 msĵ+ 4 m/s k. What is the angular momentum of this particle about the origin? O (121-31-4) kg. m²/s O (241-61-8k) kg. m²/s O (81+14 - 13 k) kg • m²/s O (41 - 137 - 11.5 k) kg • m²/s O (10 -1 + 2 k) kg. m²/s
- A 1.10-kg particle moves in the xy plane with a velocity of v = (4.30 î – 3.50 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is ŕ = (1.50 î + 2.20 ĵ) m. (0 î + 0 ĵ + |-15.85 Review the equation for the angular momentum in terms of components of the vectors. k) kg •m/sThe figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic.The disk has mass M = 4.84 kilograms and radius R = 0.74 meters. The clay has mass m = 285 grams and is moving horizontally at vi = 3.88 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk. 1. Calculate the angular speed (rad/s) of the disk just after the collision.At a particular instant, a 1.0 kg particle's position is r= (5.01-3.05 +4.0k) m, its velocity is v= (-1.01 +3.05 +1.0k) m/s, and the force on it is F=(13.01 +14.05) N. (Express your answers in vector form. (a) What is the angular momentum (in kg-m²/s) of the particle about the origin? kg-m²/s (b) What is the torque (in Nm) on the particle about the origin? N-m (c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg. m²/s2)? di kg-m²/s² dt
- 3 z, 0 = -1.5z. 13-99. A car of a roller coaster travels along a track which for a short distance is defined by a conical spiral, r = where r and z are in meters and 0 in radians. If the angular motion 0 = 1 rad/s is always maintained, determine the r, 0, z components of reaction exerted on the car by the track at the instant z=6 m. The car and passengers have a total mass of 200 kg. Prob. 13-99The position vectors of a particle of mass m kg as a function of time are given. Assume r is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time. Note: i and j are unit vectors.a) r = xt i + yt jb) r = xt i + y jThe position vector of a particle of mass 1.0 kg as a function of time is given by F= (6f + 10 tj ) m where 7 is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time (in kg m2/s)? Option 1 Option 2 Option 3 Option 4 Option 5 (20 tj) (120 tj) (60 tj) (30 tj) (240 tj)
- A particle of mass m moves in the xy plane with a velocity of v = vî + vj. Determine the angular momentum of the particle about the origin when its position vector is r = xî + vi.(Use the following as necessary: x, y, v, Vy, and m.)A particle of mass 1.20 kg is moving with velocity v→=(7.8i^+5.6j^)m/s. A)Find the angular momentum L→ relative to the origin when the particle is at r→=(3.0j^+4.9k^)m. (Enter your answers in indicated order separated by commas. Express your answer using two significant figures.) B) At position r→ a force of F→=4.5Ni^ is applied to the particle. Find the torque relative to the origin. (Enter your answers in indicated order separated by commas. Express your answer using two significant figures.)A particle of mass 1.00 kg is moving with velocity v→=(7.5i^+6.0j^)m/s. A) Find the angular momentum L→ relative to the origin when the particle is at r→=(2.0j^+4.3k^)m. Enter your answers in indicated order separated by commas. Express your answer using two significant figures. B) At position r→ ,a force of F→=4.9Ni^ is applied to the particle. Find the torque relative to the origin. Enter your answers in indicated order separated by commas. Express your answer using two significant figures.