Inclined Plane Apparatus: Hinged Track, Roller ($W$), Pulley & Pan ($P$)
State: Equilibrium
$F\text{–}\sin\theta$ Graph Plot ($\text{Slope} = W_{\text{roller}}$)
Slope W = -- g.wt
Angle ($\theta$)
30.0°
$\sin\theta$
0.500
$W\sin\theta$ (Down)
100.0 g.wt
Pan Force ($P$)
100.0 g.wt
Angle of Inclination ($\theta$)
θ = 30.0° ($\sin\theta = 0.500$)
Total Weight of Roller ($W = M_{\text{roller}} + w_{\text{added}}$)
W = 200 g.wt
Suspended Pan Total Load ($P = m_{\text{pan}} + w$)
P = 100.0 g.wt ($m_{\text{pan}} = 20\text{g}$)
Observation Table (NCERT Form)
| # | $\theta$ (°) | $\sin\theta$ | $W_1$ (↑) | $W_2$ (↓) | $F = \frac{W_1+W_2}{2}$ | $W\sin\theta$ | Error % |
|---|---|---|---|---|---|---|---|
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Verification Result:
$F = W \sin\theta \implies \frac{F}{\sin\theta} = W$
Theoretical Weight ($W_{\text{actual}}$): 200.0 g.wt
Experimental Weight ($W_{\text{graph}}$): -- g.wt
Graph Slope Deviation: -- %
Within NCERT ±3% target