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#Statics

3 public questions tagged with this topic.

PHYSICS

Two particles of masses 8 kg and 2 kg are at (0, 5) and (10, 0) respectively. What is the distance of their nter of mass

Given: Two particles of masses 8 kg and 2 kg are at (0, 5) and (10, 0) respectively. What is the distance of their nter of mass from the origin? These values define the system as per NCERT data. Formula: X = (8 × 0) + (2 × 10)/8 + 2 = 20/10 = 2. This is standard NCERT relation. Substitution & Calculation: Y = (8 × 5) + (2 × 0)/8 + 2 = 40/10 = 4 . Distance = sqrt(2)² + (4)² = sqrt4 + 16 = sqrt20 approx 4.47 m . Result: The computed value matches expected outcome and confirms correct choice as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Relevant Physics topic covering fundamental principles,

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PHYSICS

A 5 kg block on a 37° incline ( μ_k = 0.2 ) is pulled upward by a 7 kg mass over a pulley. What is the tension? (Take

Given: A 5 kg block on a 37° incline ( μ_k = 0.2 ) is pulled upward by a 7 kg mass over a pulley. What is the tension? (Take g = 10 m/s², sin 37° = 0.6, cos 37° = 0.8 ) These values define the system as per NCERT data. Formula: For 7 kg : 7g - T = 7a Rightarrow 70 - T = 7a. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: For 5 kg : T - mg sin 37° - f_k = 5a . N = mg cos 37° = 5 × 10 × 0.8 = 40 N . Friction: f_k = 0.2 × 40 = 8 N . mg sin 37° = 50 × 0.6 = 30 N . Net force: T - 30 - 8 = 5a Rightarrow T - 38 = 5a . Solve: 70 - T = 7a, T - 38 = 5a . Substitute: 70 - (5a + 38) = 7a Rightarrow 70 - 38 - 5a = 7a Rightarrow 32 = 12a . a = 32/12 approx 2.67 m/s² . T - 38 = 5 × 2.67 Rightarrow T - 38 approx 13.35 Rightarrow T approx 51.35 N . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Laws of Motion, Work Energy Power, Gravitation and System of Particles, Topic: Newton's laws, work-energy theorem and rotational dynamics.

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