It is a fact that when a flexible rope is wrapped around a rough cylinder, a small force of magnitude F 0 at one end can resist a large force of magnitude F at the other end. The size of F depends on the angle θ through which the rope is wrapped around the cylinder (see the accompanying figure). The figure shows the graph of F (in pounds) versus θ (in radians), where F is the magnitude of the force that can be resisted by a force with magnitude F 0 = 10 lb for a certain rope and cylinder. (a) Estimate the values of F and d F / d θ when the angle θ = 10 radians. (b) It can be shown that the force F satisfies the equation d F / d θ = μ F , where the constant μ is called the coefficient of friction. Use the results in part (a) to estimate the value of μ .
It is a fact that when a flexible rope is wrapped around a rough cylinder, a small force of magnitude F 0 at one end can resist a large force of magnitude F at the other end. The size of F depends on the angle θ through which the rope is wrapped around the cylinder (see the accompanying figure). The figure shows the graph of F (in pounds) versus θ (in radians), where F is the magnitude of the force that can be resisted by a force with magnitude F 0 = 10 lb for a certain rope and cylinder. (a) Estimate the values of F and d F / d θ when the angle θ = 10 radians. (b) It can be shown that the force F satisfies the equation d F / d θ = μ F , where the constant μ is called the coefficient of friction. Use the results in part (a) to estimate the value of μ .
It is a fact that when a flexible rope is wrapped around a rough cylinder, a small force of magnitude
F
0
at one end can resist a large force of magnitude
F
at the other end. The size of
F
depends on the angle
θ
through which the rope is wrapped around the cylinder (see the accompanying figure). The figure shows the graph of
F
(in pounds) versus
θ
(in radians), where
F
is the magnitude of the force that can be resisted by a force with magnitude
F
0
=
10
lb for a certain rope and cylinder.
(a) Estimate the values of
F
and
d
F
/
d
θ
when the angle
θ
=
10
radians.
(b) It can be shown that the force
F
satisfies the equation
d
F
/
d
θ
=
μ
F
, where the constant
μ
is called the coefficient of friction. Use the results in part (a) to estimate the value of
μ
.
Both the magnitude and the direction of the force on a crankshaft change as the crankshaft rotates. Find the magnitude (in ft-lb) of the torque on the crankshaft using the position and data shown in the figure, where F = 1,600 lb. (Round your answer to two decimal places.) A crankshaft goes up and right a distance of 0.16 ft. A vector F starts at the end of the crankshaft and goes down and right making an angle of 60° with the crankshaft.
A force vector has a magnitude of 23 N and makes an angle of 35° with the x-axis.
What is the magnitude of its vertical component? Round your answer to two decimal
places.
A/
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY