DATA You are testing a small flywheel (radius 0.166 m) that will be used to store a small amount of energy. The flywheel is pivoted with low-friction bearings about a horizontal shaft through the flywheel’s center. A thin, light cord is wrapped multiple times around the rim of the flywheel. Your lab has a device that can apply a specified horizontal force F → to the free end of the cord. The device records both the magnitude of that force us a function of the horizontal distance the end of the cord has traveled and the time elapsed since the force was first applied. The flywheel is initially at rest, (a) You start with a lest run to determine the flywheel’s moment of inertia I . The magnitude F of the force is a constant 25.0 N, and the end of the rope moves 8.35 m in 2.00 s. What is I ? (b) In a second test, the flywheel again starts from rest but the free end of the rope travels 6.00 m; Fig. P10.90 shows the force magnitude F as a function of the distance d that the end of the rope has moved. What is the kinetic energy of the flywheel when d = 6.00 m? (c) What is the angular speed of flywheel, in rev/min, when d = 6.00 m? Figure P10.90
DATA You are testing a small flywheel (radius 0.166 m) that will be used to store a small amount of energy. The flywheel is pivoted with low-friction bearings about a horizontal shaft through the flywheel’s center. A thin, light cord is wrapped multiple times around the rim of the flywheel. Your lab has a device that can apply a specified horizontal force F → to the free end of the cord. The device records both the magnitude of that force us a function of the horizontal distance the end of the cord has traveled and the time elapsed since the force was first applied. The flywheel is initially at rest, (a) You start with a lest run to determine the flywheel’s moment of inertia I . The magnitude F of the force is a constant 25.0 N, and the end of the rope moves 8.35 m in 2.00 s. What is I ? (b) In a second test, the flywheel again starts from rest but the free end of the rope travels 6.00 m; Fig. P10.90 shows the force magnitude F as a function of the distance d that the end of the rope has moved. What is the kinetic energy of the flywheel when d = 6.00 m? (c) What is the angular speed of flywheel, in rev/min, when d = 6.00 m? Figure P10.90
DATA You are testing a small flywheel (radius 0.166 m) that will be used to store a small amount of energy. The flywheel is pivoted with low-friction bearings about a horizontal shaft through the flywheel’s center. A thin, light cord is wrapped multiple times around the rim of the flywheel. Your lab has a device that can apply a specified horizontal force
F
→
to the free end of the cord. The device records both the magnitude of that force us a function of the horizontal distance the end of the cord has traveled and the time elapsed since the force was first applied. The flywheel is initially at rest, (a) You start with a lest run to determine the flywheel’s moment of inertia I. The magnitude F of the force is a constant 25.0 N, and the end of the rope moves 8.35 m in 2.00 s. What is I? (b) In a second test, the flywheel again starts from rest but the free end of the rope travels 6.00 m; Fig. P10.90 shows the force magnitude F as a function of the distance d that the end of the rope has moved. What is the kinetic energy of the flywheel when d = 6.00 m? (c) What is the angular speed of flywheel, in rev/min, when d = 6.00 m?
As a torque activity, your Physics TA sets up the arrangement shown below.
3
fp =
8 F =
7₁ →
A uniform rod of mass m, = 138 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 266 g and m₂ = 157 g are attached. Your TA
asks you to determine the following.
(a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert the rod?
Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is
negative).
m4
Fp =
8 F =
m
N
m₁
m₂
(b) Let's now remove the mass m3 and determine the new…
You are designing a system for moving aluminum cylinders from the ground to a loading dock. You
use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0° above the horizontal. Each
cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is
attached to the yoke. Each cylinder is uniform and has mass 490 kg and radius 0.300 m. The
Part A
cylinders are pulled up the ramp by applying a constant force F to the free end of the rope. F is
parallel to the surface of the ramp and exerts no torque on the cylinder. The coefficient of static friction
between the ramp surface and the cylinder is 0.120.
What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp?
Express your answer with the appropriate units.
F =
Value
Units
Submit
Request Answer
Part B
If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it…
a.) A tension force, T, of magnitude 5.0 N is applied to the end of a bar at a distance r = 1.5 m from the axis of rotation O (represented by the black dot). The angle between the force and the distance vector, θ=25o. Calculate the magnitude and direction of the torque vector.
b.) In the previous problem, let’s make some changes. The bar is now a different length and reoriented within 3-D space such that the r is a vector that has components (3,2,0) in the xyz coordinate frame, and F is a vector with components (4,5,0). What is the torque exerted on the rigid body about a pivot located at the origin? Express your answer in i, j, k, components. Assume all distances are represented in meters and forces in newtons.
Chapter 10 Solutions
University Physics with Modern Physics (14th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.