JEE Main Physics Newton's Laws of Motion PYQs, MCQs & Practice Sets

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Q 1 :

Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes over a light frictionless pulley as shown in the figure below. The masses are held at rest at the same horizontal level and then released. The distance traversed by the centre of mass in 2 s is ______ m. (Take g = 10 $m / s^{2}$ ) [2026]

[IMAGE 13]

3.33
3.12
2.22
1.42

(3)

$a = (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) g = (\frac{2 - 1}{3}) \times 10 = \frac{10}{3} {m/s}^{2}$

$a_{c m} = \frac{(1) (10 / 3) - (2) (10 / 3)}{3} = - \frac{10}{9} {m/s}^{2} (↓)$

$S_{c m} = u_{c m} t + \frac{1}{2} a_{c m} t^{2}$

$S_{c m} = 0 + \frac{1}{2} (\frac{10}{9}) (4) = \frac{20}{9} m (downward)$

$S_{c m} = \frac{20}{9} (Downward) \approx 2.22 m$

Q 2 :

A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is $4 \times 10^{8} N / m^{2}$ and its radius is 4 mm, then maximum acceleration the lift can take is _______ $m / s^{2}$ . $({take g=10 m/s}^{2} and π = 3.14)$ [2026]

2.56
3.89
4.32
5.16

(1)

[IMAGE 14]

$T - m g = m a$

$(σ π r^{2}) - m g = m a$

$\Rightarrow 4 \times 10^{8} π {(4 \times 10^{- 3})}^{2} - 16000 = 1600 a$

$\Rightarrow a = 2.56 {m/s}^{2}$

Topic Question Set

Q 2 :

A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is $4 \times 10^{8} N / m^{2}$ and its radius is 4 mm, then maximum acceleration the lift can take is _______ $m / s^{2}$ . $({take g=10 m/s}^{2} and π = 3.14)$ [2026]

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Topic Question Set

Q 2 : A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4×108 N/m2 and its radius is 4 mm, then maximum acceleration the lift can take is _______ m/s2. (take g=10 m/s2 and π=3.14) [2026]

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Q 2 :

A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is $4 \times 10^{8} N / m^{2}$ and its radius is 4 mm, then maximum acceleration the lift can take is _______ $m / s^{2}$ . $({take g=10 m/s}^{2} and π = 3.14)$ [2026]