What is the magnitude of the angular acceleration of the cylinder? 0.60 rad/s2 0.80 rad/s2 1.0 rad/s2 0.40 rad/s2
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A compound cylinder of mass 10 kg and moment of inertia of 5 kg-m2 can rotate about a frictionless axle through its center O, as shown in the cross-sectional view in the figure. The A rope wrapped around the outer radius R1 = 1.0 m exerts a force of magnitude F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force of magnitude F2 = 6.0 N downward. What is the magnitude of the
0.60 rad/s2
0.80 rad/s2
1.0 rad/s2
0.40 rad/s2
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- A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling pumpkins and pianos. A simple trebuchet is shown in the figure below. Model it as a stiff rod of negligible mass 3.00 m long and joining particles of mass m₁ = 0.120 kg and m₂ = 55.0 kg at its ends. It can turn on a frictionless horizontal axle perpendicular to the rod and 15.5 cm from the particle of larger mass. The rod is released from rest in a horizontal orientation. Find the maximum speed that the object of smaller mass attains when it leaves the trebuchet horizontally. m/s m₂ Need Help? Read It 3.00 m m₂ eAn automobile traveling 70.0 km/h has tires of 64.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 25.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number i Units (b) Number i Units (c) Number i UnitsThe figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.5 cm and a mass of 24 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 260 rad/s counterclockwise. Force F1 has a magnitude of 0.0988 N. What is magnitude F2? Number .164 Units N
- An automobile traveling 85.0 km/h has tires of 78.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 21.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number Units (b) Number i Units (c) Number i Units >A mass m1 (3.0 kg) is connected by a light string that passes over a pulley of mass M ( 4.0 kg) to a mass m2 (2.0 kg) sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25 cm and a moment of inertia of 2 MR2. The angle is 60 degrees, then what is the Ma Scceleration of m1? m1Problem 2: A hollow sphere of mass M and radius R rolls without slipping up a rough incline that makes an angle with the horizontal. Find the magnitude of the linear acceleration a of the center of mass of the sphere. α= α= a=39-sin-sine 59 3 59 cos e α M a = 3g sin 0 R 5 D 79 a = g sin 0
- An automobile traveling 110 km/h has tires of 69.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 21.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number i Units (b) Number i Units (c) Number i UnitsConsider the 15.0 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.480 m. The motorcycle is on its center stand, so that the wheel can spin freely. a)If the drive chain exerts a force of 2450 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2? _____rad/s2 (b)What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire? ______m/s2 (c)How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s? _______sThe figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.9 cm and a mass of 23 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 270 rad/s counterclockwise. Force F1 has a magnitude of 0.0984 N. What is magnitude F2?