Question

As shown in figure, a 70 kg garden roller is pushed with a force of F = 200 N at an angle of 30° with horizontal. The normal reaction on the roller is: (Given: g = 10 ms⁻²)

Options

• `800sqrt2 N`

• 600 N

• 800 N

• `200sqrt3 N`

Answer 1

800 N

Explanation:

Given: g = 10 ms⁻²

F = 200 N

m = 70 kg

Formula: W = mg

= 70 × 10 

= 700 N

Since the force is pushing downward at 30°, its vertical component adds to the weight:

F_y = F sin 30°

= `200 xx 1/2`

= 100 N

Normal reaction balances total downward force:

N = W + F_y

= 700 + 100

= 800 N