In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0, -4.05 m, 8.99 m) when forces F→1=(9.75N)k̂ and F→2=(-7.46N)ĵ act on the flea?

Q: A particle is acted on by two torques about the origin: : 1 has a magnitude of 2.0 Nm and is…

A:

Q: A solid cylinder of mass 3.4 kg and radius 4.8 cm rolls down an Inclined plane of height 9.1 cm…

A: Velocity of the center of mass. From conservation of energy

Q: • Calculate the torque (magnitude and direction) about point O due to the force F in each of the…

A: As per guidelines on 3 subparts are solved here. Given, F = 10.0 N Length of rod , r = 4.00 m We…

Q: A small ball of mass 1.5 kg is attached to one end of a 1.50-m-long massless rod, and the other end…

A: Mass, m = 1.5 kg Length, L = 1.50 m Angle from vertical, θ = 38° Torque, τ = ?

Q: beam of length 1.7 m is attached by a pin and is being held up by a horizontal wire attached to the…

A: GivenLength of beam, L=1.7 mTensin in wire, T=1852 Nθ=53.3°

Q: Given the two vectors r and F shown above, choose the direction of the resulting torque vector. A.…

A: The direction of torque can be determined using right hand rule.

Q: A torque of 12 N · m is applied to a solid, uniform disk of radius 0.50 m. If the disk accelerates…

A: Given: Torque,τ = 12 N Radius of the uniform disk, r = 0.50 m Angular acceleration, α= 2.8 rad/s2…

Q: A meterstick is oriented in space parallel to the unit vector given by r̂ = 2/15 î + 10/15 ĵ + 11/15…

A:

Q: The uniform solid block in the figure has mass 30.9 kg and edge lengths a = 0.687 m, b = 1.71 m, and…

A:

Q: Find the torque about the origin when a force of 3j N acts on a particle whose position vector is 2k…

A:

Q: A rigid bearing assembly with a point mass m = 1.20 kg, suspended at the end of a thin rod of length…

A:

Q: Let F be a force acting on an object, and let r be a position vector from a rotational center to the…

A:

Q: A uniform, solid cylinder of radius 3.00 cm and mass 3.00 kg starts from rest at the top of an…

A: Radius =3cm Mass= 3kg L= 2m  .θ = 25° To find = cylinder speed at the bottom of the ramp

Q: A particle is located at the vector position r= (3i + 5j + 7k) m and the force acting on it is F=…

A: The torque is given by, τ=r×F Substituting, τ=3i+5j+7km×2i-6j+3kN

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Given:               F→1= 1.06 k^  N               F→2= -7.18 j^  N∴  Net force F→= -7.18j^+…

Q: A rigid bearing assembly with a point mass m = 1.15 kg, suspended at the end of a thin rod of length…

A:

Q: A vector force with components (1, 2, 3) acts at the point (3, 2, 1). Find the vector torque about…

A: Given: The component pf force is F=(1,2,3). The component of point is r=(3,2,1). At origin ro=…

Q: f F has a magnitude of 10 N and the rod is 4.00 m long, what is the magnitude of the torque

A:

Q: At the instant shown in the figure, a 2.0 kg particle P has a position vector of magnitude 3.0 m and…

A: Torque about the origin τ→=r→×F→=rFsinθ3k^

Q: A small ball of mass 1.3 kg is attached to one end of a 1.70-m-long massless rod, and the other end…

A:

Q: Calculate the angular acceleration α of the thin rod about its center of mass in radians per square…

A:

Q: Show that the rotational inertia of a rectangular plate of sides a and b about an axis perpendicular…

A: The perpandicular axis thorem to calculate the moment of inertia is

Q: A uniformly-dense equilateral triangle with weights hanging from each vertex is fixed at its center…

A:

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A:

Q: A uniform solid sphere of radius r = 0.500 m and mass m = 15.0 kg turns counterclockwise about a…

A:

Q: Force F = -4.4 Ni+ 6.4 N j acts on a small rock with a position vector r = 3.1 m i+ 8.5 m j relative…

A:

Q: force F = (7i + 3j + 3k) N is applied to a point with position vector r = (6i + 3j + k) m. Find the…

A: Torue vector is given as the cross product of displacement vector and force vector.

Q: The force F = 2i − j − 5k acts at the point (−5, 2, 1). Find the torque due to Fabout the origin and…

A: The point on which force is applied can be given as, The position vector about the origin is,

Q: A small ball of mass 1.5 kg is attached to one end of a 0.990-m-long massless rod, and the other end…

A: Torque = force × perpendicular distance

Q: The tub of the mixer has a weight of 70 lb and a radius of gyration kg = 1.3 ft about its center of…

A: The tub of the mixer has a weight of 70 lb and a radius of gyration kG 1.3 ft about its center of…

Q: The rotor of a lab centrifuge has moment of inertia 0.0113 kg m^2 and spins at 1470 rad/s. If a…

A: The given data are: I=0.0113 kg.m2ω=1470 rad/sF=16 Nr=0.075 m Here, I, ω, F, and r represent the…

Q: A hollow cylinder, of inner radius 0.28m and outer radius 0.41m, is rotating around an axis through…

A:

Q: At one instant, a force acts on a 0.5 kg object that has a position vector r⃗ = (3.0 î− 2.0 k̂) m…

A:

Q: In a downtown office building, you notice each of the four sections of a rotating door has a mass of…

A:

Q: The uniform solid block in the figure has mass 17.0 kg and edge lengths a = 0.851 m, b = 1.74 m, and…

A:

Q: A uniformly-dense equilateral triangle with weights hanging from each vertex is fixed at its center…

A:

Q: A solid cylinder with a mass of 5.0 kg is rolling down a ramp. If it has a radius of 10 cm and an…

A:

Q: At the instant of the figure, a 7.20 kg particle P has a position vector 7 of magnitude 1.10 m and…

A: According to guidelines , only first question is solved here. Given, m = 7.20 kg position of vector…

Q: The uniform solid block in the figure has mass 35.6 kg and edge lengths a = 0.863 m, b = 1.37 m, and…

A: Given: a = 0.863m B = 1.37m c = 0.140m M = 35.6 kg

Q: Calculate the m.і. of a thin uniform rod of the mass 100g and length 60cm about an axis…

A: Given : Mass of rod=M=100g=0.1kg, length of rod=l=60cm=0.6m. Moment of inertia of the thin uniform…

Q: A motorcyclist is traveling along a road and accelerates for 6.94 s to pass another cyclist. The…

A: Given:Angular acceleration = 8.39 rad/s2Final angular velocity = 80.6 rad/sTime taken = 6.94 s

Q: = 1.55j N acts on a 0.126 kg object that has position vector 7 = (2.95i – 2.95k) m and velocity…

A:

Q: Force F→=(7.05N⁢)î-(4.15N⁢)k̂ acts on a pebble with position vector r→=(4.18m⁢)ĵ-(6.57m⁢)k̂,…

A:

Q: A solid disk is initially at rest and has a moment of inertia of 0.0830 kg·m2. If a net torque of…

A: The net torque on the solid disk can be given as, T=Iα Here, α denotes the angular acceleration.…

Q: Two Thin rectangular sheets (0.28m x 0.47 m) are identical. In the first sheet the axis of rotation…

A:

Q: At the instant of the figure, a 3.00 kg particle P has a position vector r of magnitude 4.10 m and…

A: Given: The position vector is r→=4.1cos41i^+4.1sin41j^ The velocity vector is…

Q: Find the net torque on the wheel in Figure about the axle through O perpendicular to the page,…

A: