Question: The motion of the 3-in.-radius cylinder is controlled by the cord shown (please refer to attachment for diagram). Knowing that end E of the cord has a velocity of 12 in./s and an acceleration of 19.2 in./s^2, both directed upward, determine the acceleration (a) of point A, (b) of point B.
Please see attachments ans. a) 1.333 in. above A; b) 085 ft./sec. right. c) 60.2 ft. / sec. @48.4 deg.
This problem has caused alot of dificulty. Both the ta and prof. have as yet not come up with a solution. A general concensus is that the higher circular path of the shortened length has a smaller diameter, unlike the picture. The answers are given as: A) L1^3 * sin^3 theta1 * tan theta1 = L2^3 * sin^3 theta2 * tan theta2
A CD has a mass of 17 g and a radius of 6.0 cm. When inserted into a player, the CD starts from rest and accelerates to an angular velocity of 21 rad/s in 0.80 s. Assuming the CD is a uniform solid disk, determine the net torque acting on it.
Hi. Can someone please show me how to do the following problem? I posted it earlier, but I still can't get the correct answer using the OTA's very brief explanation. Here's the question: "A car is designed to get its energy from a rotating flywheel with a radius of 2.20 m and a mass of 499 kg. Before a trip, the flywheel
A solid, horizontal cylinder of mass 10.4 kg and radius 1.13 m rotates with an angular speed of 6.81 rad/s about a fixed vertical axis through its center. A 0.251 kg piece of putty is dropped vertically onto the cylinder at a point 0.864 m from the center of rotation, and sticks to the cylinder. Determine the final angular speed
"A 3.96 m long pole is balanced vertically on its tip. It is given a tiny push. What will be the speed of the upper end of the pole just before it hits the ground? Assume the lower end does not slip."
"A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?"
"Calculate the moment of inertia of a 14.0 kg sphere of radius 0.645 m when the axis of rotation is through its center." I thought the equation was simply: I = mr^2 = (14.0)(0.645)2 = 5.82 kg*m^s but that's not the answer.
A bicycle with 56.0 cm diameter tires travels 6.40 km. How many revolutions do the wheels make?
1. At t=0, a fly wheel has an angular velocity of 4.7 rad/s (radians per second), an angular acceleration of -0.25 rad/s^2 , and a reference line at pheta0 = 0. (a) Through what maximum angle phetamax will the reference line turn in the positive direction ? At what times t will the reference line be at (b) pheta = 1/2phetamax an
A train traveling at a constant speed rounds a curve of radius 286 m. A chandelier suspended from the ceiling swings out to an angle of 15.7 degrees throughout the turn. What is the speed of the train?
A device for training astronauts and jet fighter pilots is designed to rotate the trainee in a horizontal circle of radius 11.0 m. If the force felt by the trainee is 7.91 times her own weight, how fast is she rotating, in revolutions per second?
How fast (in rpm) must a centrifuge rotate if a particle 8.06 cm from the axis of rotation is to experience an acceleration of 79000 g?
A child sits on a rotating merry-go-round, 2.1 meters from its center. If the speed of the child is 1.0 m/s, what is the minimum coefficient of static friction between the child and the merry go round that will prevent the child from slipping.
A bead can slide without friction on a circular hoop with a radius of .100 m in a vertical plane. The hoop rotates at a constant rate of 3.00 rev/s about a vertical diameter. a) find the angle θ at which the bead is a vertical equilibrium. b) is it possible for the bead to "ride" at the same elevation as the center o
Certain neutron stars (extremely dense stars) are believed to be rotating at about 1 rev/s. If such a star has a radius of 20 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation?
See attached diagram. The pedal crank of a racing cycle is to be analysed to assess whether the stresses are excessive. Pedal loads can reach 500N (causing bending) and produce a torque of 100Nm. The location of load application alternates each half rotation of the spindle (from locations A to F) as shown in the attached di
A siren can be made by blowing a jet of air through 20 equally spaced holes in a rotating disk. The time it takes for successive holes to move past the air jet is the period of the sound. The siren is to produce a 2,200 Hz tone. What must be the angular speed (omega) in rad/s of the disk?
A ceiling fan has one red blade. Initially rotating in a counterclockwise (positive direction) with angular velocity Wo= +30 radians per second. SEE THE ATTACHMENT FOR A PICTURE WITH KNOWN DATA. At that instant, when the red blade makes an angle Qo= +1.4 radians from the +x axis, the current is reversed and a timer is started
I need to show mathematically how two 3rd-class levers joined together in a series increase angular velocity versus using a single 3rd-class lever. For example, a football player kicking the ball from the tee. I need to compare when he kicks it with his kicking leg maintained in a straight condition, i.e. only his hip joint ro
The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 rad during the first second. Find the angle rotated during the next second.
1.A boeing 747 jet with 385 people cruising 39000 ft travels 280 yds on gallon of fuel. How many gallons will it need to travel 2000 km. a. How many meters does 200 km equal? b. How many meters does the plane travel per gallon of fuel? How many gallons will the plane need to travel 2000 km? 2. How may liters of water w
Rigid rod OA is 2 ft long and rotated around fixed pt O. This rod is pinned at A to rigid connecting rod AB, 6 ft long, which in turn is pinned at B to piston C. This piston moves without friction along the y axis. The pins are also frictionless. Rod OA is positioned so that it is pi/3 radians above the x-axis and angular ve