a. What is the position vector that starts at -50j and ends at 50 j? b. What is the position vector that starts at  (-50 i - 20 j +10 k) lb and ends at (50 i + 20 j -10 k) lb c. What is the resultant sum of the moments in Cartesian vector form? Round your entries to the nearest whole number.

Q: D: What is the angular velocity at the center of the disk?  E: If the disk took 3.2 sec to spin up…

A: Solution: Given: D: What is the angular velocity at the center of the disk? E: If the disk took 3.2…

Q: Kramer goes bowling and decides to employ the force of gravity to "pick up a spare." He rolls the…

A:

Q: Problem 2: A 0.5 kg turntable with a radius of 15 cm is rotating 78 times per minute. A. What is the…

A: Angular momentum = Iω

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A: d = 70 cm = 0.70 m Then, r = d/2 = 0.35 m

Q: A rider notices that the wheels of his bicycle make 12 rev in 15 s. (a) What is the average angular…

A: a. the average angular speed is ω=12 rev/15 s=0.8 rev/s

Q: Two bicycles of equal mass collide, as shown below. In the collision, the gears of the two bikes…

A: Let mass of each cycle = m v1 = 2.3× (cos43oi^ - Sin43oj^) msv1 =1.68i^ - 1.57j^ msv2 = 1.7×…

Q: A large (for the sake of this problem you can assume infinitely large) horizontal circular plate is…

A:

Q: A small ball of mass 0.50 kg is attached by a massless string to a vertical rod that is spinning as…

A: (a) Draw the free-body diagram of the ball.

Q: Part (e) Calculate the magnitude of the angular momentum L, in kg · m2/s,of the coconut as observed…

A:

Q: An 8.79cm diameter floppy disk rotates at its fastest at 470 rpm.  Part D: What is the angular…

A: 1rpm =1rev/60s 470rpm =470 rev/60s = 7.833 rev/s T = 2π/w w =270rpm 1rpm =2π rad/60s 470rpm =…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 26.7 rad/s. Then, the…

A: initial angular velocity = 26.7 rad/s final angular velocity = 0 angular displacement = 16.1…

Q: During a very quick stop, a car decelerates at 7.00 m/s. (a) What is the angular acceleration of its…

A: a) The linear acceleration and the angular acceleration is, a=rα-7.00m/s2=0.280mαα=-25.0rad/s2

Q: A rotating space station can simulate the gravitational acceleration on Earth. (a)  If the Station…

A: Diameter  of space station,D=600mRadius,  R=D2=6002m=300m

Q: A force of 20 N is applied to a spanner as in Figure 3.. a. Calculate the moment created by this…

A:

Q: As Tony the fisherman reels in a "big one" he turns the spool on his fishing reel at a constant rate…

A: Given data: Angular velocity, ω=3.6 rev/s Outer radius, r=3.4 cm

Q: A puck of mass m, = 78.0 g and radius r, = 4.50 cm glides across an air table at a speed of v = 1.50…

A:

Q: A turntable that is initially at rest is set in motion with a constant angular acceleration 3…

A: Given that initial angular velocity and angular acceleration.Then We have to determine the value of…

Q: The angular speed of an automobile engine is increased from 1200 rev/min to 3000 rev/min in 12 s.…

A: Initial angular speed: ωi = 1200 rev/min = 120060  = 20 rev/s Final angular speed: ωf = 3000 rev/min…

Q: a) The target is six meters away, and I am able to consistently throw the axe with a horizontal…

A: (given) Distance travelled = 6 m Horizontal Velocity =9 m/s v= u+at 9= 0+(9.8)t t = 0.92 s and s…

Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, ?→ = r→×F→

Q: In the Pirate Boat ride at the amusement park, riders swing back and forth in a pendulumlike “boat.”…

A: (a) The maximum height above the equilibrium point that is the lowest point is:

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: Suppose a yo-yo has a center shaft that has a 0.210 cm radius and that its string is being pulled.…

A:

Q: 1) A compact disk or DVD rotates at a fairly high velocity while a laser head bounces light off the…

A:

Q: A3.80 kg rock has a horizontal velocity of magnitude 12.0 m/s when it is at point P in the figure…

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

Q: The angular speed of an automobile engine is increased at a constant rate from 1200 rev/min to 3000…

A:

Q: A ball of radiusr, mass m, rolls from rest on another sphere of radius R. a) At what angle does it…

A: we know that,pure rolling occures then, v=wrainitial energy of ball isEi=mg2R+rfinal  energy

Q: (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an…

A: given,  Vi = 5.96x104 m/s from conservation of energy, the initial total energy of the object at the…

Q: The Moon orbits around the Earth and also spins on its axis. a)What is the angular momentum of the…

A: The mass of the Moon,

Q: (a) Show that the angle that the total velocity vector makes with the horizontal at the point of…

A:

Q: A traditional watch has a second hand 1.5 cm long, from centre to tip. (a) What is the speed of the…

A: Speed = distance /time

Q: m,v A large commercial wind turbine has a wing span (diameter) of 110m. The inertia of this turbine…

A:

Q: A three-blade wind turbine, which spins perpendicularly to the ground, is set on a pole that is 38 m…

A:

Q: Part (d) What is the angular displacement, in radians, during the time interval from 3.75 s to 12.25…

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Q: Part A What is the magnitude of the angular momentum of the 2.40 kg , 4.20-cm-diameter rotating disk…

A: We are given with a disc of  Mass ,m = 2.4 Kg  Diameter , d = 4.2cm  Angular velocity ,w= 600 rpm

Q: , a car deceleraes at 7.00 m/s^2. a. What is the angular acceleration of its 0.280-m-radius tires,…

A: Given data:-  The car deceleration at 7.00 m/s2 Find;-  a. What is the angular acceleration of its…

Q: Counter Clockwise = positive Clockwise = negative 1. A 60.0 cm fan blade starts at rest and speeds…

A: Given Data : The length of the fan blade is given as R = 60 cm. The initial angular speed of the fan…

Q: A) What are the x- and y-components of each of the forces? B) What is the magnitude and direction of…

A: The moment of a force about a point is equal to the magnitude of force F multiplied by the…

Q: A tire (R = 0.5 m) starts from rest and accelerates at 40 m/s? for 8 s. a) What is the total angular…

A: Angular displacement formula is given by: θ=ωt+12αt2 Where ω is the initial velocity, α is the…

Q: A turntable that is initially at rest is set in motion with a constant angular acceleration 3…

A: The given data are: ωi=0 rad/sα=3 rad/s2θ=1 rev=2π rad Here, ωi, α, and θ represent the initial…

Q: A puck of mass m, = 74.0 g and radius r, = 3.80 cm glides across an air table at a speed of V = 1.50…

A: The center of mass of a system of objects is the average position for the entire system at which a…

Q: A wheel is rotating counter clockwise initially at an angular speed of 2.50 rad/s. Itdeceleratesover…

A:

Q: A high-speed drill rotating counter clock wise at 2400 [rpm] comes to a stop in 2.5 [s]. a) what is…

A: Given Data: The final angular speed is, ωf=2400 rev/min The time required to stop a drill is, t=2.5…

Q: During a very quick stop, a car decelerates at 7.69m/s². a) What is the angular acceleration of its…

A: