Category: HC Verma Part 1: Mechanics

Problem Statement A string can support a maximum tension of 50 N. A 4 kg mass hangs from the string. What is the maximum upward acceleration the string can apply? ($g = 10$ m/s²) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical…

Problem Statement The same scale (normal weight 600 N). What does it read when the elevator accelerates downward at 2 m/s²? Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is…

Problem Statement A scale reads 600 N when a person stands still. What does it read when the elevator accelerates upward at 2 m/s²? ($g = 10$ m/s²) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws…

Problem Statement Solve the Newton’s Laws / mechanics problem: A force of 25 N produces an acceleration of 5 m/s². Find the mass. $m = F/a$ Step 1: $m = 25/5 = 5$ kg. $$\boxed{m = 5\text{ kg}}$$ Given Information Mass(es), forces, angles, and coefficients of friction as given $g = 9.8\,\text{m/s}^2$ (acceleration due to…

Problem Statement Three masses $m_1 = 2$ kg, $m_2 = 3$ kg, $m_3 = 4$ kg are connected by strings and hang vertically with $m_3$ at the bottom. The system is pulled up by force $F = 90$ N. Find the acceleration and tensions in each string. ($g = 10$ m/s²) Given Information All quantities,…

Problem Statement Solve the Newton’s Laws / mechanics problem: A 4 kg block is pulled up a smooth 30° incline by a horizontal force $F$. Find $F$ if the block moves at constant speed. ($g = 10$ m/s²) Equilibrium on incline with horizontal force Step 1: Along incline: $F\cos30° = mg\sin30°$ → $F = mg\tan30°…

Problem Statement Solve the Newton’s Laws / mechanics problem: Two blocks 2 kg and 3 kg are on a frictionless surface in contact. A 20 N force pushes the 2 kg block into the 3 kg block. Find the contact force between them. $a = F/(m_1+m_2)$; contact force on 3 kg = $m_2 a$ Step…

Problem Statement A 10 kg block on a frictionless horizontal surface is pulled by a string making 30° above horizontal. The string tension is 50 N. Find the acceleration and normal force. ($g = 10$ m/s²) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts…

Problem Statement A 10 kg monkey climbs a rope attached to a ceiling. The rope can withstand a maximum tension of 130 N. What is the maximum acceleration the monkey can have while climbing up? ($g = 10$ m/s²) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as…

Problem Statement A 5 kg block on a frictionless table is connected by a string passing over a pulley to a 3 kg hanging mass. Find the acceleration and tension. ($g = 10$ m/s²) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical…