From the fixed pulley, masses 2 kg , 1 kg and 3 kg are suspended as shown in the figure. Find the extension (in m ) in the spring if spring constant k=100 N / m. (Neglect oscillations due to spring)

Question

From the fixed pulley, masses 2 kg , 1 kg and 3 kg are suspended as shown in the figure. Find the extension (in m ) in the spring if spring constant k=100 N / m. (Neglect oscillations due to spring) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

For 3 kg mass, 3 g-k x=3 a ...(i) For 1 kg mạss, k x+g-T=a ...(ii) For 2 kg mass, T-2 g=2 a ...(iii) Adding (i), (ii) and (iii), we get a=(g / 3) Hence, x=0.20 m

Q. From the fixed pulley, masses $2 k g, 1 k g$ and $3 k g$ are suspended as shown in the figure. Find the extension (in $m$ ) in the spring if spring constant $k = 100 N / m$ .
(Neglect oscillations due to spring)

For $3 k g$ mass,
$3 g - k x = 3 a ... (i)$
For $1 k g$ mạss,
$k x + g - T = a ... (ii)$
For $2 k g$ mass,
$T - 2 g = 2 a ... (iii)$
Adding (i), (ii) and (iii),
we get $a = (g /3)$
Hence, $x = 0.20 m$

Q. From the fixed pulley, masses 2kg,1kg and 3kg are suspended as shown in the figure. Find the extension (in m ) in the spring if spring constant k=100N/m. (Neglect oscillations due to spring)

For 3kg mass, 3g−kx=3a...(i) For 1kg mạss, kx+g−T=a...(ii) For 2kg mass, T−2g=2a...(iii) Adding (i), (ii) and (iii), we get a=(g/3) Hence, x=0.20m

Q. From the fixed pulley, masses $2 k g, 1 k g$ and $3 k g$ are suspended as shown in the figure. Find the extension (in $m$ ) in the spring if spring constant $k = 100 N / m$ .
(Neglect oscillations due to spring)

For $3 k g$ mass,
$3 g - k x = 3 a ... (i)$
For $1 k g$ mạss,
$k x + g - T = a ... (ii)$
For $2 k g$ mass,
$T - 2 g = 2 a ... (iii)$
Adding (i), (ii) and (iii),
we get $a = (g /3)$
Hence, $x = 0.20 m$