Please provide detailed step by step solution to this problem A 3.2-kilogram hoo
ID: 1444089 • Letter: P
Question
Please provide detailed step by step solution to this problemA 3.2-kilogram hoop starts from rest at a height 1.3 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface? (Neglect friction.)
Please provide detailed step by step solution to this problem
A 3.2-kilogram hoop starts from rest at a height 1.3 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface? (Neglect friction.)
A 3.2-kilogram hoop starts from rest at a height 1.3 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface? (Neglect friction.)
Explanation / Answer
v = sqrt(2 g h/(1 + I/MR^2))
I = M R^2
v = sqrt(2 g h/(1 + M R^2/MR^2))
v = sqrt(2 g h/(1 + 1))
v = sqrt(2 g h/(2))
v = sqrt(g h)
v = sqrt(9.8 * 1.3)
v = 3.6 m/s
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