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JEE Main 202624 JanuaryMorning Shift
Exam
JEE Main
Year
2026
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2026 · 24 January · Morning Shift · Physics · Laws of Motion

In the given figure the blocks A, B and C weigh 4 ~kg, 6 ~kg and 8...

In the given figure the blocks A,BA, B and CC weigh 4 kg,6 kg4 \mathrm{~kg}, 6 \mathrm{~kg} and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5. The force F⃗\vec{F} required to slide the block CC with constant speed is ____\_\_\_\_ N.
(Use g=10 m/s2g=10 \mathrm{~m} / \mathrm{s}^{2})
In the given figure the blocks A, B and C weigh 4 ~kg, 6 ~kg and 8 kg respectively. The co-efficient of sliding

Options

  1. ABoth Statement I and Statement II are true
  2. BBoth Statement I and Statement II are false
  3. CStatement I is true but Statement II is false
  4. DStatement I is false but Statement II is true

Correct answer

D. Statement I is false but Statement II is true

Step-by-step solution

For the 8 kg block (C) to move with constant velocity, Fnet=0F_{net} = 0.

Friction forces acting:
- Between C and ground: f=μ(mA+mB+mC)g=0.5×(4+6+8)×10=90f = \mu(m_A + m_B + m_C)g = 0.5 \times (4+6+8) \times 10 = 90 N
- Between C and B: f=μ(mA+mB)g=0.5×(4+6)×10=50f = \mu(m_A + m_B)g = 0.5 \times (4+6) \times 10 = 50 N

For the 6 kg block (B):
T=fB on ground+fA on BT = f_{\text{B on ground}} + f_{\text{A on B}}
T=μ(mA+mB)g⋅mBmA+mB+μ⋅mA⋅gT = \mu(m_A + m_B)g \cdot \frac{m_B}{m_A+m_B} + \mu \cdot m_A \cdot g
T=20+50=70T = 20 + 50 = 70 N

For the 8 kg block (C):
F=90+T+50=90+70+50=210F = 90 + T + 50 = 90 + 70 + 50 = 210 N
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