I.E. Irodov — Problems in General Physics: Solution Index
Complete step-by-step solutions with LaTeX equations (rendered by MathJax). Part I: Physical Fundamentals of Mechanics.
Total solutions: 78 problems
Section 1.1 Kinematics
- Problem 1.10 — Pursuit problem — equilateral triangle
- Problem 1.1 — River flow velocity from raft and motorboat
- Problem 1.11 — Minimum angle for constant-speed trajectory on a curve
- Problem 1.118 — Conservation of momentum — explosion of a stationary object
- Problem 1.119 — Elastic collision — 1D head-on
- Problem 1.120 — Perfectly inelastic collision — loss of kinetic energy
- Problem 1.12 — Projectile motion — flight time, height, range, apex velocity
- Problem 1.13 — Projectile — time when velocity makes angle β
- Problem 1.14 — Shell reaching a distant target — flight time
- Problem 1.15 — Trajectory from velocity field $\vec v = a\hat i + bx\hat j$
- Problem 1.16 — Speed and acceleration on a cycloid
- Problem 1.17 — Angle between acceleration and velocity in non-uniform circular motion
- Problem 1.18 — Initial angular velocity when final is twice initial
- Problem 1.19 — Time for acceleration vector to form 60° with velocity — variable angular acceleration
- Problem 1.2 — Mean velocity — unequal speed segments
- Problem 1.20 — Speed and acceleration on a cardioid in polar coordinates
- Problem 1.21 — Minimum drift angle for boat crossing river (river faster than boat)
- Problem 1.22 — Relative velocity of rain — umbrella tilt angle
- Problem 1.23 — Vertical throw — two stones meeting
- Problem 1.24 — Angle of relative velocity — two perpendicularly accelerating particles
- Problem 1.25 — Velocity as function of position — deceleration proportional to position
- Problem 1.26 — Exponential deceleration — velocity and position as functions
- Problem 1.27 — Square-root deceleration — stopping distance and time
- Problem 1.28 — Mean velocity vs instantaneous velocity — linearly increasing acceleration
- Problem 1.29 — Falling body — height from which dropped to reach speed v with drag
- Problem 1.3 — Duration of uniform motion phase
- Problem 1.30 — Radius of curvature — projectile at apex and at launch
- Problem 1.31 — Maximum range on an inclined plane
- Problem 1.32 — Projectile to hit a wall at maximum height
- Problem 1.33 — Uniform circular motion — angular velocity from linear velocity
- Problem 1.34 — Centripetal acceleration — Earth’s rotation
- Problem 1.35 — Non-uniform circular motion — angular acceleration from velocity dependence
- Problem 1.36 — Speeding up on a circular track — when centripetal equals tangential
- Problem 1.37 — Ratio of centripetal to tangential acceleration at angle φ
- Problem 1.38 — Vector of angular velocity — direction and magnitude
- Problem 1.39 — Angular velocity of a clock hand
- Problem 1.40 — Velocity from angular velocity and radius — rolling wheel
- Problem 1.4 — Angle between acceleration and velocity on a circle
- Problem 1.41 — Vector angular velocity — rotating frame basics
- Problem 1.42 — Finding the axis of rotation — simultaneous velocities
- Problem 1.43 — Instantaneous axis of rotation — disk rolling on cylinder
- Problem 1.44 — Velocity addition — disk rolling inside cylinder
- Problem 1.45 — Acceleration of the Moon — centripetal from orbital data
- Problem 1.46 — Satellite orbital speed
- Problem 1.47 — Geostationary orbit radius
- Problem 1.48 — Coriolis-free frame — train deflection problem
- Problem 1.49 — Free fall relative to rotating Earth
- Problem 1.50 — Relationship between linear and angular acceleration
- Problem 1.5 — Total acceleration on circular arc with constant tangential acceleration
- Problem 1.51 — Tangential and normal acceleration — spiral motion
- Problem 1.52 — Velocity and acceleration in rotating frame — Coriolis
- Problem 1.53 — Velocity of image — object moving toward convex mirror
- Problem 1.54 — Velocity of point on a rod — constraint mechanics
- Problem 1.55 — Velocity of rope end on a pulley
- Problem 1.56 — Velocity of a bead on a rotating spoke
- Problem 1.57 — Angular velocity of relative rotation — two concentric circles
- Problem 1.58 — Relativistic kinematics — light travel time vs distance
Section 1.8 Relativistic Mechanics
- Problem 1.59 — Newton’s second law — variable force
- Problem 1.60 — Braking force — constant deceleration from friction
- Problem 1.6 — Circular motion from parametric equations
- Problem 1.61 — Atwood machine — two masses over a pulley
- Problem 1.62 — Block on inclined plane — friction coefficient from angle
- Problem 1.63 — Horizontal force on a block against a wall
- Problem 1.64 — Block on accelerating incline
- Problem 1.65 — Tension in a rope with a person climbing
- Problem 1.66 — Contact force between two blocks — horizontal push
- Problem 1.67 — String tension in vertical circular motion
- Problem 1.68 — Looping the loop — minimum speed
- Problem 1.69 — Conical pendulum — angle and tension
- Problem 1.70 — Banked curve — normal force and required speed
- Problem 1.7 — Motion along parabola — velocity and acceleration
- Problem 1.71 — Friction on an incline — block barely moving
- Problem 1.72 — Momentum impulse — baseball bat
- Problem 1.73 — Variable-mass system — Tsiolkovsky rocket equation
- Problem 1.74 — Rocket thrust — force from exhaust
- Problem 1.75 — Water jet on a wall — force from impact
- Problem 1.8 — Velocity of centre of inertia — two particles
- Problem 1.9 — Separation and relative velocity of two particles on a circle
Solutions use MathJax for LaTeX rendering. All derivations are step-by-step.