Q3. A 1 kg mass is suspended from the ceiling by a rope of length 4 m . A horizontal force ' $F ^ { \prime }$ ' is applied at the mid point of the rope so that the rope makes an angle of $45 ^ { \circ }$ with respect to the vertical axis as shown in figure. The [Figure] magnitude of $F$ is : (Assume that the system is in equilibrium and $g = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$ ) (1) 10 N (2) $\frac { 10 } { \sqrt { 2 } } \mathrm {~N}$ (3) 1 N (4) $\frac { 1 } { 10 \times \sqrt { 2 } } \mathrm {~N}$
Q3. A 1 kg mass is suspended from the ceiling by a rope of length 4 m . A horizontal force ' $F ^ { \prime }$ ' is applied at the mid point of the rope so that the rope makes an angle of $45 ^ { \circ }$ with respect to the vertical axis as shown in figure. The\\
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magnitude of $F$ is : (Assume that the system is in equilibrium and $g = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$ )\\
(1) 10 N\\
(2) $\frac { 10 } { \sqrt { 2 } } \mathrm {~N}$\\
(3) 1 N\\
(4) $\frac { 1 } { 10 \times \sqrt { 2 } } \mathrm {~N}$