A block with mass m = 5.00 kg slides down a surface inclined 36.9° lo the horizontal (Fig. P10.62). The coefficient of kinetic friction is 0.25. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 25.0 kg and moment of inertia 0.500 kg · m2 with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.200 m from that axis. (a) What is the acceleration of the block down the plane? (b) What is the tension in the string?
Figure P10.62
Learn your wayIncludes step-by-step video
Chapter 10 Solutions
University Physics with Modern Physics (14th Edition)
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Sears And Zemansky's University Physics With Modern Physics
University Physics Volume 1
Essential University Physics: Volume 2 (3rd Edition)
Lecture- Tutorials for Introductory Astronomy
- A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.arrow_forwardIn Figure P10.40, the hanging object has a mass of m1 = 0.420 kg; the sliding block has a mass of m2 = 0.850 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R1 = 0.020 0 m, and an outer radius of R2 = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is k = 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of vi = 0.820 m/s toward the pulley when it passes a reference point on the table. (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. (b) Find the angular speed of the pulley at the same moment. Figure P10.40arrow_forwardA circular bird feeder 19 cm in radius has rotational inertia 0.12kg·m2. The feeder is suspended horizontally by a thin wire through the middle, and is spinning slowly at 6.1 rpm. A 140 g bird lands on the rim of the feeder, coming in tangent to the rim at 1.1 m/s in a direction opposite the feeder’s rotation. Assume the feeder-bird system is isolated; no pFBD or IST is required for this problem. Please put your answers in terms of the variables listed. Variables: R-radius of feeder I0-Feeder inertia w0-initial angular velocity m-bird mass v0-bird initial speed Lbird-bird intitial angular momentum Iafter-system final inertia wf-final angular velocity q. Treat the bird as a point-particle, and define the feeder’s initial rotation direction to be positive. Write an expression in terms of given variables for the bird’s angular momentum immediately before contact with the feeder about the feeder’s axis of rotation Lbird in terms of the variables above.arrow_forward
- The radius of a wheel is 0.700 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope. How much rope unwinds while the wheel makes 1.00 rev? Which equation for rotational work? W=τΔθ W=τ^2Δθ W=τ/Δθ W=Δθ/τarrow_forwardA cylindrical metal drum, with a radius of 0.25 m, has an inertia of 11.0.kg. The drum is hollow and you may neglect the inertia of the top and bottom of the drum. The drum is free to rotate about an axle that runs through its centre and along its long axis. A cord is wrapped around the drum. The cord is pulled straight from the drum with a constant force of 60 N. As the cord unwinds, the drum rotates, with no slippage between the cord and the drum. (a) Calculate the work done by person pulling the cord as the drum rotates through 100 radians. Give your answer in Joules (b) Assuming the drum starts from rest, what is the rotational speed of the tyre after it has rotated through 100 radians? Give your answer in rad.sarrow_forwardA 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 27.5 rad/s. The radius of the wheel is 0.600 m, and its moment of inertia about its rotation axis is 0.800MR2. Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill; this work has absolute value 2600 J. ▼ Part A Calculate h. Express your answer with the appropriate units. h = Submit μA Value Request Answer < Return to Assignment Units Provide Feedback ?arrow_forward
- A wheel of radius 0.20 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.050 kgm2. A massless cord wrapped around the wheel is attached to a 2.0 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P=3.0 N is applied to the block , what is the magnitude of the angular acceleration of the wheel? Assume the cord does not slip on the wheel.arrow_forwardA flywheel in a motor is spinning at 530.0 rpm when a power failure suddenly occurs. The flywheel has mass 40.0 kg and diameter 75.0 cm . The power is off for 32.0 s , and during this time the flywheel slows down uniformly due to friction in its axle bearings. During the time the power is off, the flywheel makes 210.0 complete revolutions. At what rate is the flywheel spinning when the power comes back on? How long after the beginning of the power failure would it have taken the flywheel to stop if the power had not come back on? How many revolutions would the wheel have made during this time?arrow_forwardA fan has four blades attached to a central shaft. The blades are lf = 17 cm long and each blade have a uniformly distributed mass of mf = 0.11 kg. The fan spins up from rest to an angular speed of ωf = 111 rad/s in tf = 0.85 s. Give an expression for the average torque τf that the fan’s motor exerts on the fan as it spins up. τ =arrow_forward
- A string wrapped around the pulley is pulled with a downward force that is notconstant and increases linearly with the angle of rotation, F=kθ, where k=1.5 N/rad. If the string does not slip, what is the angular velocity of the pulley after the force has increased from 0 to 15 N. Assume that initially the pulley is at rest. The moment of inertia of the pulley is 0.015 kg⋅m2, and the radius is 20 cm.arrow_forwardA uniform disk with mass 38.8 kg and radius 0.240 m is pivoted at its center about a horizontal, frictionless axle that is stationary. The disk is initially at rest, and then a constant force 33.0 N is applied tangent to the rim of the disk. What is the magnitude v of the tangential velocity, in m/s, of a point on the rim of the disk after the disk has turned through 0.200 revolution? What is the magnitude a, in m/s2, of the resultant acceleration of a point on the rim of the disk after the disk has turned through 0.200 revolution?arrow_forwardA wheel of radius 0.427 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.0156 kg·m2. A massless cord wrapped around the wheel is attached to a 3.02 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P = 9.18 N is applied to the block as shown in the figure, what is the angular acceleration of the wheel? Take the clockwise direction to be the negative direction and assume the string does not slip on the wheel.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning