A) \[\operatorname{W} a sin \theta \]
B) \[\frac{1}{2} k{{a}^{2}} {{\theta }^{2}}\]
C) \[\operatorname{W}\,a\,sin \theta + k\,{{a}^{2}}{{\theta }^{2}}\]
D) \[\operatorname{W}\,a\,sin \theta +\frac{1}{2} k\,{{a}^{2}}{{\theta }^{2}}\]
Correct Answer: D
Solution :
[d] \[\operatorname{W}= mgh +\frac{1}{2}k{{x}^{2}} = mg\left( a\,sin\,\theta \right) +\frac{1}{2} k{{\left( a\theta \right)}^{2}}\] \[=Wa\sin \theta +\frac{1}{2}k{{a}^{2}}{{\theta }^{2}}\]
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