A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of 30° with the vertical, the balance reads 4 kg wt. The mass of the load is

Question

A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of 30° with the vertical, the balance reads 4 kg wt. The mass of the load is (A) √3 kg (B) 3 kg (C) 2 √3 kg (D) 9 kg

Tardigrade Admin · Accepted Answer

Fx = reading in spring balance = 4 kg wt From figure, Fx cos 30° = mg (4 kg wt) (√3/2) = mg So, m = 2 √3 kg

Q. A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of $3 0^{\circ}$ with the vertical, the balance reads $4 k g wt$ . The mass of the load is

$3$ kg

3 kg

$23$ kg

9 kg

$F_{x} =$ reading in spring balance
= 4 kg wt
From figure, $F_{x} cos 3 0^{\circ} = m g$
(4 kg wt) $\frac{3}{2}$ = mg
So, $m = 23$ kg

Q. A spring balance carries a load. When the load is pulled aside so that the balance makes an angle of 30∘ with the vertical, the balance reads 4kgwt. The mass of the load is

3​ kg