In the figure below, a constant horizontal force (vec{F}_{app}) of magnitude 13 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is 18 kg, its radius is 0.13 m, and the cylinder rolls smoothly on the horizontal surface. (a) What is the magnitude of the acceleration of the center of mass of the cylinder? m/s" (b) What is the magnitude of the angular acceleration of the cylinder about the center of mass? rad/s" (c) In unit-vector notation, what is the frictional force acting on the cylinder? (Assume that the +x-axis is to the right and the +y-axis is up along the page.) (vec{F}_f =) N
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Given: Mass of the cylinder, m = 18 kg Radius of the cylinder, r = 0.13 m Moment of inertia, I_cm = (1/2) * m * r^2 I_cm = (1/2) * 18 * (0.13)^2 I_cm = 0.4566 kg*m^2 Show more…
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In Fig. 11-60, a constant horizontal force $\vec{F}_{\text {app }}$ of magnitude 12 $\mathrm{N}$ is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is $10 \mathrm{~kg}$, its radius is $0.10 \mathrm{~m}$, and the cylinder rolls smoothly on the horizontal surface. (a) What is the magnitude of the acceleration of the center of mass of the cylinder? (b) What is the magnitude of the angular acceleration of the cylinder about the center of mass? (c) In unit-vector notation, what is the frictional force acting on the cylinder?
In Fig. $11-60,$ a constant horizontal force $vec{F}_{ ext { app }}$ of magnitude 12 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is $10 mathrm{kg},$ its radius is $0.10 mathrm{m},$ and the cylinder rolls smoothly on the horizontal surface. (a) What is the magnitude of the acceleration of the center of mass of the cylinder? (b) What is the magnitude of the angular acceleration of the cylinder about the center of mass? (c) In unit-vector notation, what is the frictional force acting on the cylinder?
Penny R.
A cylinder having a mass of $1.92 \mathrm{~kg}$ rotates about its axis of symmetry. Forces are applied as shown in Fig. 9-53: $F_{1}=5.88 \mathrm{~N}, \quad F_{2}=4.13 \quad \mathrm{~N}$, and $\quad F_{3}=2.12 \quad$ N. Also, $R_{1}=4.93 \mathrm{~cm}$ and $R_{2}=11.8 \mathrm{~cm} .$ Find the magnitude and direction of the angular acceleration of the cylinder.
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