A solid cylinder with mass m and radius R rolls without slipping down a plane inclined at an angle e. The coefficient of (static) friction
between the cylinder and the plane is ll. Find the linear acceleration
of the cylinder using energy conservation.

The total energy of the system is given by mohlo +mgh.

If the cylinder rolls down the slope without slipping, y = OR and a =Ra.

If it moves a distance x down the plane, its height decreases by x sin o.

Conservation of energy means dE/dt
= 0. Differentiating E,​

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

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c) power lifting, will be your answer.

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