Question

A golf club consists of a shaft connected to a club head. The golf club can be modeled as a uniform rod of length ℓ and mass m1 extending radially from the surface of a sphere of radius R and mass m2. Find the location of the club's center of mass, measured from the center of the club's head. (Use the following as necessary: m1, m2, ℓ, and R.)

Answer 1

m₁ (R +ℓ/2) / /( m₁ + m₂ )

Explanation:

We shall consider centre of the club's head as origin .

The centre of mass of the rod attached with sphere will be away from the centre of sphere by a distance

= R + ℓ /2 and its mass is m₁

mass of sphere is m₂ and distance of its centre of mass from origin is zero

So required CM = m₁ x₁ + m₂ x₂ / ( m₁ + m₂ )

= m₁ (R + ℓ /2) + m₂ x 0 /( m₁ + m₂ )

= m₁ (R +ℓ/2) / /( m₁ + m₂ )