Problem 3 - Rolling without slipping. A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with the horizontal plane. At time t-0, the cylinder is at re its center of mass is at height h = 2.5 m above the bottom of the incline. The axis of rotation of the cylinder is orthogonal to the incline. The cylind mass M = 4 kg, length L and a cross-sectional radius R<

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Chapter1: Units, Trigonometry. And Vectors
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sis ş is is in is hisis ş iis ş issisisis iş isisiis ş iis is şsis is .s is is is iš dis iis şisis iş is I Şis ş is siis ş iss is s s is ş iis ș isş is is is is şi šis şusishes iss ş is asissis şi iksis ş is şçis
tediaakל ה :nntnnleenekranakeאninnnntaאmmntא:nא!amidtkcbirmemntaא atrtkrמ akrkd:uerternitetd udetekrdrdaaltqdlkekckei: 2dהלckera,drnkrecakecakלק
Problem 3 – Rolling without slipping.
A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with the horizontal plane. At time t=0, the cylinder is at re
its center of mass is at height h = 2.5 m above the bottom of the incline. The axis of rotation of the cylinder is orthogonal to the incline. The cylind
mass M = 4 kg, length L and a cross-sectional radius R<<h. Find: (a) The velocity of the cylinders' center of mass as it reached the bottom of the incli
The rotational kinetic energy of the cylinder at the bottom of the incline; (c) Consider, now, a point particle sliding down the same incline, with initial v
Vin=0 and height yin=h. If the velocity of the point particle at the bottom of the incline is the same as that found for the cylinder's center of mass in p
what is the value of the coefficient of kinetic friction? (Hint: in this problem, you can approximate g = 10 m/s²).
Transcribed Image Text:sis ş is is in is hisis ş iis ş issisisis iş isisiis ş iis is şsis is .s is is is iš dis iis şisis iş is I Şis ş is siis ş iss is s s is ş iis ș isş is is is is şi šis şusishes iss ş is asissis şi iksis ş is şçis tediaakל ה :nntnnleenekranakeאninnnntaאmmntא:nא!amidtkcbirmemntaא atrtkrמ akrkd:uerternitetd udetekrdrdaaltqdlkekckei: 2dהלckera,drnkrecakecakלק Problem 3 – Rolling without slipping. A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with the horizontal plane. At time t=0, the cylinder is at re its center of mass is at height h = 2.5 m above the bottom of the incline. The axis of rotation of the cylinder is orthogonal to the incline. The cylind mass M = 4 kg, length L and a cross-sectional radius R<<h. Find: (a) The velocity of the cylinders' center of mass as it reached the bottom of the incli The rotational kinetic energy of the cylinder at the bottom of the incline; (c) Consider, now, a point particle sliding down the same incline, with initial v Vin=0 and height yin=h. If the velocity of the point particle at the bottom of the incline is the same as that found for the cylinder's center of mass in p what is the value of the coefficient of kinetic friction? (Hint: in this problem, you can approximate g = 10 m/s²).
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