A particle of mass 4.0kg has position vector of (4.0i-3.0j) at a particular instant of time when its velocity 3.0i with respect to the origin. (a)what is the angular momentum of the particle?(b) if a force of 6.0j N acts on the particle, what is the torque about the origin?

A particle of mass 4.0kg has position vector of (4.0i-3.0j) at a particular instant of time when its velocity 3.0i with respect to the origin. (a)what is the angular momentum of the particle?(b) if a force of 6.0j N acts on the particle, what is the torque about the origin?

Related questions

Q: A projectile of mass m is launched with an initial velocity vi making an angle θ with the horizontal…

A: (a)The equation for angular momentum is,

Q: A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s.…

A: Given, figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2…

Q: In an isolated system, the moment of inertia of a rotating object is hal ved. What happens to the…

A: The net torque will be zero when the system is an isolated one. When there is no net torque, the…

Q: Two particles, each of mass m and speed v, travel in opposite directions along parallel lines…

A: Solution:

Q: A string is attached to a ball of mass 250 g, and the ball is swung around in a circular path in the…

Q: = (b) The figure below shows an arrangement of 15 identical disks that have been glued together in a…

Q: A 8.40 kg toy car moves along an x axis with a velocity given by=-7.25t³ i m/s, with t in seconds.…

Q: When a pitcher throws a curve ball, the ball is given a fairlyrapid spin. If a 0.15-kg baseball with…

A: Given mass of the ball m=0.15 kgRadius R=3.7 cm R=0.037 mLinear speed V=48 m/sAngular…

Q: Three identical point masses of m =0.1 (kg) are moving at a constant velocity v =10 (m/s)…

Q: If a particle is moving with respect to a chosen origin it has linear momentum. What conditions must…

Q: A particle of mass 0.5g is travelling in a circle of radius R=1.5 m and with an angular velocity of…

A: Angular velocity (w)= 10 rad/s Radius (R)= 1.5 m Let the tangential velocity be V

Q: A7.56 kg toy car moves along an x axis with a velocity given by V=-2.88t i m/s, with t in seconds.…

A: "Since you have posted a question with multiple sub-parts, as per strict guidelines to us we will…

Q: In a double-star system, two stars of mass 4.9 x 1030 kg each rotate about the system's center of…

Q: A particle is acted on by two torques about the origin: t1 has magnitude of 2.0 Nm and is directed…

Q: A particle undergoes uniform circular motion. About which point on the plane of the circle, will the…

A: A particle moves uniformly in a circle, as we know.We need to determine where on the circle's axis…

Q: A cockroach of mass m lies on the rim of a uniform disk of mass 3.00 m that can rotate freely about…

Q: (a) A light, rigid rod of length l = = 1.00 m joins two particles, with masses m₁ 4.00 kg and m₂ =…

A: STEP 1: Given data:Mass, m1=4kg;m2=3kgSpeed of each particle v=6.20m/slength of rod l=1.00mAngular…

Q: A 10.0 kg toy car moves along an x axis with a velocity given by v = -7.89t³ i m/s, with t in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose the disk has a mass of 50.0 g and an initial velocity of 30.0 m/s when it strikes the stick…

A: The moment of inertia of the disk, I=mr2 The angular velocity, ω=vr

Q: A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in…

A: a) The torque will be,

Q: A flywheel in the four of a dise of mass 10kg + radies 50cm is rotating with a constant angular…

A: We need to compute-Angular momentum (L)=?Rotational K.E.=?We have been provided with data-Mass of…

Q: (A) A uniform rod 4 m long slender rod AB of mass 40.775 kg is rigidly connected to the center of a…

A: Given: Length of Rod is L=AB=4m. Mass of rod is m=40.775kg. Mass of disk is M=30kg Diameter of disk…

Q: y 00

A: First we calculate angular momentum and directions or velocity or distance Angular momentum=…

Q: Calculate the moment of inertia Ix of the disk D defined by x 2 + y2 < R2 (in meters), with total…

A: Given The angular velocity is ω=10 rad/s. The total mass of disc is M. The moment of inertia of…

Q: A stirng is attached to a tennis ball and it is swung around in a circular path. If the angular…

A: angular velocity ω=12.7 rad/s length of string l=34 cm=0.34 m

Q: A disk of mass m is spinning freely at 6.00 rad/s when a secondidentical disk, initially not…

A: Given:Mass of the disc = mAngular velocity = 6 rad/s

Q: Inthe figure here, a 34 kg child stands on the edge of a stationary merry-go-round of radius 2.3 m.…

Q: Two astronauts each having a mass of 80 kg, are connected by a 12.0 m rope ofnegligible mass. They…

A: (a) Angular momentum of the two astronauts is L=2mvd2=mvd=80 kg6.00 ms12.0 m=5760 kg m2s

Q: a 0.400 kg ball is shot directly upward at initial speed 76.5 m/s. What is its angular momentum…

Q: (A) A uniform rod 4 m long slender rod AB of mass 40.775 kg is rigidly connected to the center of a…

A: Part (a) Given: The mass of rod is m=40.775 kg. The mass of disk is M=30 kg. The mass of block…

Q: (a) Consider a person standing on a freely rotatable disk. He stretches his hands in horizontal…

Q: Suppose a piece of dust is stuck to a CD such that it does not slip even when the CD is spinning.…

A: Given:- A piece of dust is stuck to a CD such that it does not slip even when the CD is spinning.…

Q: In a double-star system, two stars of mass 2.7 x 1030 kg each rotate about the system's center of…

A: mass of each star (m) = 2.7×1030 kg radius (r) = 1.1×1011 m

Q: A 200g toy car is placed on a narrow 30cm radiustrack with wheel grooves that keep the car moving in…

Q: 2. A Lazy Susan (M=0.5 kg) in the shape of a disk is free to rotate about its center without…

Q: Express the angular velocity of the second hand on a clock in thefollowing units: (a) rev>h, (b)…

Q: Halley’s comet moves about the Sun in an elliptical orbit, withits closest approach to the Sun being…

A: The expression for the conservation law of angular momentum.

Q: A disk of radius R and mass M is spinning at an angular velocity ω0 rad/s. A non-rotating concentric…

A: Given, A disk of radius R and mass M is spinning at an angular velocity ω0 rad/s. A non-rotating…

Q: At a certain instant a rigid wheel is spinning about its center of mass with angular velocity of…

A: The rigid wheel is spinning about its center of mass with angular velocity of magnitude ωAnd the…

Question

A particle of mass 4.0kg has position vector of (4.0i-3.0j) at a particular instant of time when its velocity 3.0i
with respect to the origin. (a)what is the angular momentum of the particle?(b) if a force of 6.0j N acts on the
particle, what is the torque about the origin?

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

Expert Solution