The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity w = 6 rad/s, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is μ = 0.2.
Q: A cylinder is rotating about an axis that passes through the center of each circular end piece. The…
A: Let ω0 denotes the initial angular speed, ω denotes the final angular speed, t denotes the time, and…
Q: Starting from rest, a disk rotates about its central axis with constant angular acceleration. In…
A: Starting from rest, a disk rotates about its central axis with constant angular acceleration. In…
Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +220…
A: The initial angular velocity of the car's engine is ωo=220 rad/s.The final angular velocity of the…
Q: In the figure, a solid cylinder of radius 17 cm and mass 11 kg starts from rest and rolls without…
A:
Q: A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has…
A: We are given the radius of turn table. We are also given its moment of inertia. This means that the…
Q: A playground carousel is free to rotate about its center on frictionless bearings, and air…
A:
Q: disk rótates with a constant angular acceleration of 2.80 rad/s2. It starts from rest at t = 0, and…
A: Diameter =47.4 cm And radius r=23.7cm = 0.237m We have to find the angular speed and linear…
Q: A bowler throws a bowling ball of radius R=10.0 cm along a lane at t=0. The ball slides on the lane…
A:
Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…
A: Given data: Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…
Q: uring a concentric loading of the quadriceps muscle in the upper leg, an athlete extends his lower…
A:
Q: A 51.0-cm diameter disk rotates with a constant angular acceleration of 2.8 rad/s2. It starts from…
A:
Q: A disk of mass M is spinning freely at 6.73 rad/s when a second identical disk, initially not…
A:
Q: Problem 9: The rotor blades of a helicopter are rotating at a constant angular velocity of 6.0…
A:
Q: A disk with an initial angular velocity = 9 rad/sec experiences a constant angular acceleration…
A: Given,Initial angular velocity of the disk, ωi = 9 radsangular acceleration of the disc, α = 9…
Q: A disk has a constant angular acceleration of 5.81 rad/s/s about an axis perpendicular to the disk…
A:
Q: A figure skater is spinning with an angular velocity of +13.3 rad/s. She then comes to a stop over a…
A: Given data: Initial angular velocity of the skatter is, ω0=+13.3 rad/s Final angular velocity of the…
Q: A playground merry-go-round of radius R 2.03 m has a moment of inertia of I 29.1 kg child hops onto…
A: Given information:
Q: Starting from rest, a disk rotates about its central axis with constant angular acceleration. In…
A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…
Q: 4) What is the final angular momentum of the rod and disk system? kg-m2/s Submit +) 5) What is the…
A:
Q: Wheel A of radius ra = 10.3 cm is coupled by belt B to wheel C of radius rc = 25.0 cm. Wheel A…
A:
Q: A 0.1-kg block is placed against a rotating hollow-cylinder of inner radius = 0.9 m. The cylinder…
A:
Q: A child of mass m = 40 kg is initially placed on the edge of a uniform disk, of mass M = 100 kg and…
A: The objective of the question:Determine the initial angular speed. Given data:The mass of the child…
Q: Wheel A of radius ra = 7.2 cm is coupled by belt B to wheel C of radius rc = 21.7 cm. Wheel A…
A: Radius of Wheel "A"rA=7.2 cm Radius of Wheel "C"rC=21.7 cm Angular acceleration of Wheel "A"αA=7.2…
Q: An auto race takes place on a circular track. A car completes one lap in a time of 13.8s, with an…
A: Time for completing one lap Average tangential speed
Q: A piece of wood is pressed against a spindle sanding disk which is a uniform disk with a radius of…
A: Part (1) The torque on the sanding disk can be calculated as, Here r is the radius of the sanding…
Q: A uniform circular wheel (I=M R?) with radius, R=1.0 m and mass, M=50.0 kg is spinning at 120…
A:
Q: A person who walks through the revolving door exerts a horizontal force of magnitude F-62 N on one…
A:
Q: A flywheel with a radius of 0.240 mm starts from rest and accelerates with a constant angular…
A: Radius is r=0.240 mm Angular acceleration is α=0.780 rad/s2 Initially object is at rest so its…
Step by step
Solved in 2 steps with 2 images
- A disk of mass M is spinning freely at 6.49 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. HINT (a) What is the angular speed of the new system (in rad/s)? rad/s (b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s). rad/sA disk of mass M is spinning freely at 7.69 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. HINT (a) What is the angular speed of the new system (in rad/s)? rad/s (b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s). rad/sA motorcycle, which has an initial linear speed of 5.2 m/s, decelerates to a speed of 2.9 m/s in 4.4 s. Each wheel has a radius of 0.68 m and is rotating in a counterclockwise (positive) directions. What is (a) the constant angular acceleration (in rad/s2) and (b) the angular displacement (in rad) of each wheel? (a) Number i (b) Number i (0) Units Units Vo @o
- Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.00 s, it rotates 20.7 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 5.00 s? i need d solvedA car is traveling along a road, and its engine is turning over with an angular velocity of +210 rad/s. The driver steps on the accelerator, and in a time of 13.0 s the angular velocity increases to +310 rad/s. (a) What would have been the angular displacement of the engine if its angular velocity had remained constant at the initial value of +210 rad/s during the entire 13.0-s interval? (b) What would have been the angular displacement if the angular velocity had been equal to its final value of +310 rad/s during the entire 13.0-s interval? (c) Determine the actual value of the angular displacement during the 13.0-s interval.A playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.69 m, an initial angular speed of 3.27 rad/s, and a moment of inertia of 126 kg-m². The mass of the person is 44.1 kg. Find the final angular speed of the carousel after the person climbs aboard.
- A figure skater is spinning with an angular velocity of +16.5 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +3.98 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest.Sphere A, with a mass of m₁ = 3.00 kg and radius of r = 50.0 mm, is initially pushed to the left imparting a linear velocity of v_o 4.00 m/s. The sphere rolls with sliding until time t when it stabilizes and rolls without sliding. The coefficient of sliding friction between the sphere and the floor is µ = 0.250. Assume that the linear and angular acceleration of the sphere is uniformly accelerated before reaching time t. Determine the following:1.Before reaching time t, determine the magnitudes of the following:a) frictional force between the sphere and the floor b) Linear acceleration of the sphere (at its centroid) c) Angular acceleration of the sphere. 2. Upon reaching time t, determine the magnitudes of the following: a)Time t at which the sphere will start rolling without slidingb)Angular velocity of the sphere at this time t.c)Linear velocity of the sphere at this time t.A uniform rod of mass M=6 kg and length L=3 m with a particle of mass m=2 kg attached to its one end rotates in the xy plane about a fixed axis oriented parallel to the z-axis through the other end. At an instant when the rod makes an angle θ=20o with the x-axis, the magnitude of the angular acceleration of the particle- rod system is: A). 0.80 rad/s2 B). 0.62 rad/s2 C). 0.31 rad/s2 D). 0.4 rad/s2
- A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10 s period following the inital spin, the bike wheel undergoes 70 complete rotations. Assuming the frictional torque remains constant, how much more time Δts will it take the bike wheel to come to a complete stop?During a concentric loading of the quadriceps muscle in the upper leg, an athlete extends his lower leg from a vertical position (see figure (a)) to a fully extended horizontal position (see figure (b)) at a constant angular speed of 30.0° per second. Two of the four quadriceps muscles, the vastis intermedius and the rectus femoris, terminate at the patellar tendon which is attached to the top of the tibia in the lower leg. The distance from the point of attachment of the patellar tendon to the rotation axis of the tibia relative to the femur is 4.60 cm in this athlete. (a) The two quadriceps muscles can exert a maximum force of 275 N through the patellar tendon. This force is applied at an angle of 25.0° to the section of the tibia between the attachment point and the rotation axis. What is the torque (in N - m) exerted by the muscle on the lower leg during this motion? (Enter the magnitude.) N.m (b) What is the power (in W) generated by the athlete during the motion? W b (c) Modeling…During a tennis serve, a racket is given an angular acceleration of magnitude 170 rad/s2. At the top of the serve, the racket has an angular speed of 13.0 rad/s. If the distance between the top of the racket and the shoulder is 1.50 m, find the magnitude of the total acceleration of the top of the racket.