Question

Part A

Rank in order, from largest to smallest, the angular accelerations α a   to α d   in the figure(Figure 1) .

Rank from largest to smallest. To rank items as equivalent, overlap them.

Answer 1

a.

I = mr²

angular acceleration is given as

$\alpha$ = $\tau$/I = Fr/(mr²)

$\alpha$_a = F/(mr)

b)

I = 2mr²

angular acceleration is given as

$\alpha$ = $\tau$/I = 2Fr/(2mr²)

$\alpha$_b = F/(mr)

c)

I = m(2r)² = 4 mr²

angular acceleration is given as

$\alpha$ = $\tau$/I = F(2r)/(4mr²)

$\alpha$_c = F/(2mr)

d)

I = (2m)(2r)² = 8 mr²

angular acceleration is given as

$\alpha$ = $\tau$/I = (2F)(2r)/(8mr²)

$\alpha$_d = F/(2mr)

$\alpha$_a= $\alpha$_b> $\alpha$_c = $\alpha$_a