Question

A bicycle and its rider have a total mass of 70.0 kg. Each of its wheels can be modeled as a thin hoop with mass 1.26 kg and diameter of 70.0 cm. When the brakes are applied, two brake pads squeeze the rims of each wheel. Assume that the four brake pads exert normal forces on the wheels that are equal and constant in magnitude. The coefficient of kinetic friction between a brake pad and a wheel is 0.900. The bicycle is moving on level ground with a linear speed of 7.50 m/s. When the brakes are applied, the bicycle is stopped in 5.30 s.

Find the magnitude of the net torque on each wheel about its axle.

Answer #1

A bicycle and its rider have a total mass of 83.0 kg. Each of
its wheels can be modeled as a thin hoop with mass 1.32 kg and
diameter of 70.0 cm. When the brakes are applied, two brake pads
squeeze the rims of each wheel. Assume that the four brake pads
exert normal forces on the wheels that are equal and constant in
magnitude. The coefficient of kinetic friction between a brake pad
and a wheel is 0.900. The...

Section B
a. A bicycle and a rider have a combined mass of 175 kg. How
many calories of heat are generated in the brakes when the bicycle
comes to a stop from a speed of 20 m/s? Take 4.18 J =1cal
b. If
all the energy is trapped in a 1.5 kg aluminum bag without any
heat loss, how much will
its temperature increase (DT) ? c = 0.220 cal/g°C.

provides one model for solving this type of problem. Two wheels
have the same mass and radius of 4.8 kg and 0.38 m, respectively.
One has (a) the shape of a hoop and the other
(b) the shape of a solid disk. The wheels start
from rest and have a constant angular acceleration with respect to
a rotational axis that is perpendicular to the plane of the wheel
at its center. Each turns through an angle of 12 rad in...

A luge and its rider, with a total mass of 50 kg, emerge from a
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F is required for the force, (b) what
distance d do they travel while slowing, and
(c) what work W is done on them by the
force? What are (d) F,
(e) d,...

A luge and its rider, with a total mass of 76.0 kg, emerge from
a downhill track onto a horizontal straight track with an initial
speed of 35.0 m/s. If a force slows them to a stop at a constant
rate of 4.00 m/s2, (a) what magnitude
F is required for the force, (b) what
distance d do they travel while slowing, and
(c) what work W is done on them by the
force? What are (d) F,
(e) d,...

A large tractor-trailer of total mass M = 10 metric tons
(10,000 kg) is traveling down I-70 in Colorado, coming down from
the Rocky Mountains into Denver. A segment of this road that is 25
kilometers long descends a total of 1000 meters. Suppose that the
truck driver wants to drive at a constant speed of v = 50
km/hr.
(a) What is the work done on the truck by its brakes during this
motion? (Give both the sign and...

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