Student Details







Let's start with Kinematics

Q1. Which of the following is the correct equation for final velocity in uniformly accelerated motion?




Q2. Which equation relates displacement \( s \), initial velocity \( u \), time \( t \), and acceleration \( a \)?




Q3. Which of the following equations gives the relation between velocities and displacement?




Q4. Which equation is dimensionally inconsistent?




Q5. What is the correct expression for displacement when only initial and final velocities and time are known?




Q6. Which equation of motion does NOT involve time \( t \)?




Q7. Which equation would you use to find displacement when acceleration is zero?




Q8. Which of these is a consequence of constant acceleration?




Q9. What is the initial velocity \( u \) of a body that starts from rest?




Q10. Which of these is not one of the standard three equations of motion?




Q11. An object starts from rest and accelerates uniformly at \( 5 \, \text{m/s}^2 \) for 4 seconds. What is its final velocity?




Q12. A car traveling at 15 m/s comes to a stop in 5 seconds. What is its acceleration?




Q13. A ball is thrown vertically upward with a velocity of 30 m/s. How long will it take to reach the highest point? (Take \( g = 10 \, \text{m/s}^2 \))




Q14. A body covers a distance of 80 m in 4 seconds with constant acceleration starting from rest. What is the acceleration?




Q15. Which equation relates displacement, initial velocity, time and acceleration?




Q16. A vehicle moves with uniform acceleration. If it doubles its speed in 4 seconds, what is the acceleration?




Q17. A car accelerates from 10 m/s to 30 m/s over a distance of 200 m. What is the acceleration?




Q18. What is the dimension of acceleration?




Q19. A body moving with velocity 10 m/s is brought to rest by a retardation of 2 m/s². What distance will it travel before stopping?




Q20. If a particle’s acceleration is zero, then which of the following is true?




Q21. A particle moves with velocity \( \vec{v} = 3\hat{i} + 4\hat{j} \, \text{m/s} \). What is the magnitude of velocity?




Q22. In projectile motion, what is the shape of the path followed by the object?




Q23. A projectile is launched at angle \( 45^\circ \) with initial speed \( u \). What is the ratio of horizontal range to maximum height?




Q24. In 2-D motion, which component of velocity remains constant during projectile motion (neglecting air resistance)?




Q25. What is the time of flight of a projectile launched with velocity \( u \) at angle \( \theta \)?




Q26. A ball is projected with a speed of 20 m/s at \( 30^\circ \). What is its initial vertical velocity component?




Q27. Which of the following vectors represent acceleration in projectile motion?




Q28. What is the horizontal range \( R \) of a projectile launched at angle \( \theta \) with speed \( u \)?




Q29. At the top of its trajectory, a projectile’s vertical velocity is:




Q30. What is the angle of projection for maximum horizontal range?




Q11. A projectile is launched horizontally at 10 m/s from a height of 20 m. How long does it take to reach the ground? (Take \( g = 10 \, \text{m/s}^2 \))




Q31. A projectile is launched horizontally at 10 m/s from a height of 20 m. How long does it take to reach the ground? (Take \( g = 10 \, \text{m/s}^2 \))




Q32. In projectile motion, the horizontal acceleration is:




Q33. At the highest point of a projectile's path, its acceleration is:




Q34. A body is projected at 30° and reaches a maximum height of 20 m. What is its vertical velocity at the top?




Q35. The horizontal range of a projectile increases with:




Q36. A projectile takes 4 s to reach the highest point. What is the total time of flight?




Q37. The horizontal component of velocity of a projectile is:




Q38. If the angle of projection is 90°, the range will be:




Q39. A ball is thrown horizontally with velocity 5 m/s from 45 m height. How far does it travel horizontally before hitting the ground?




Q40. If the time of flight is \( T \), what is the maximum height attained?




41. Which of the following quantities is a vector in 2-D dynamics?




42. What is the net force on a body moving in a circle at constant speed?




43. A projectile is launched at an angle. Which force acts on it throughout the motion (neglecting air resistance)?




44. Newton's second law in vector form is:




45. The normal force always acts:




46. The net force on a body is zero. What can we say about its motion?




47. What is the direction of acceleration in projectile motion?




48. Which law explains the recoil of a gun when a bullet is fired?




49. If an object is thrown upward, what is the velocity at its highest point?




50. A 2-D vector can be resolved into:




Comparison of Linear and Angular Motion

Linear Motion Angular Motion Relation
Displacement (\(s\))Angular displacement (\(\theta\))\( s = r\theta \)
Velocity (\(v\))Angular velocity (\(\omega\))\( v = r\omega \)
Acceleration (\(a\))Angular acceleration (\(\alpha\))\( a = r\alpha \)
Mass (\(m\))Moment of Inertia (\(I\))\( I = \sum m_i r_i^2 \)
Force (\(F\))Torque (\(\tau\))\( \tau = rF\sin\theta \)
\( F = ma \)\( \tau = I\alpha \)—
\( W = F \cdot s \)\( W = \tau\theta \)—
\( KE = \frac{1}{2}mv^2 \)\( KE = \frac{1}{2}I\omega^2 \)—
Momentum (\(p = mv\))Angular momentum (\(L = I\omega\))—
Impulse (\(Ft\))Angular impulse (\(\tau t\))—

Key Relationships

Kinematic Equations

Linear:
\( v = u + at \)
\( s = ut + \frac{1}{2}at^2 \)
\( v^2 = u^2 + 2as \)

Angular:
\( \omega = \omega_0 + \alpha t \)
\( \theta = \omega_0 t + \frac{1}{2}\alpha t^2 \)
\( \omega^2 = \omega_0^2 + 2\alpha\theta \)

Conceptual Analogy

51. What is the angular counterpart of linear displacement?




52. Which quantity is analogous to mass in rotational motion?




53. What is the angular equivalent of force?




54. Which of these relations is correct?




55. The equation \(\tau = I\alpha\) is analogous to which linear motion equation?




56. What is the angular analogue of linear momentum?




57. Which rotational quantity is analogous to force × time (impulse) in linear motion?




58. What is the correct relation between angular acceleration and linear acceleration?




59. Which is the correct rotational kinetic energy expression?




60. In rotational motion, which quantity resists angular acceleration?




61. Which of the following correctly relates torque and force?




62. Which pair correctly matches their linear and angular analogues?




63. Which of these is NOT a valid angular kinematic equation?




64. Work done by torque is analogous to:




65. If radius is doubled, what happens to linear velocity for the same angular velocity?




66. Angular displacement is measured in:




67. Unit of moment of inertia is:




68. Rotational motion resists change due to:




69. In angular motion, energy conservation implies:




70. Which equation represents rotational work?




71. Which of the following is a correct angular kinematic equation?




72. If an object starts from rest, what is its angular displacement after 4 seconds under a constant angular acceleration of 2 rad/s²?




73. Angular velocity is defined as:




74. If \(\omega = \omega_0 + \alpha t\), what does \(\omega_0\) represent?




75. In \(\omega^2 = \omega_0^2 + 2\alpha \theta\), \(\theta\) stands for:




76. An object rotates with angular acceleration of 3 rad/s² from rest. What is its angular velocity after 5 seconds?




77. A wheel turns through 300 radians in 10 seconds. What is its average angular velocity?




78. What is the dimension of angular acceleration?




79. Which kinematic variable remains constant in uniformly accelerated angular motion?




80. Which angular equation is best suited to find angular velocity when time is not known?




🌀 Flywheel Experiment – Using Time for Rotations

🔷 Objective:

🔷 Apparatus:

🔷 Principle:

A falling mass unwinds a string wrapped around a flywheel's axle, causing the wheel to rotate. By measuring time for a known number of revolutions, we estimate angular acceleration and moment of inertia.

🔷 Definitions:

🔷 Equations:

  1. Angular displacement:
    θ = 2πn
  2. Angular acceleration:
    α = (4 π n) / t²
  3. Torque:
    τ = Tr = m(g - rα) r
  4. Moment of inertia:
    I = Tr / α = [m(g - rα) r] / α

🔷 Procedure:

  1. Measure r using a vernier caliper.
  2. Attach known m to string wound on axle.
  3. Allow mass to fall and record time t for n turns.
  4. Compute angular displacement θ = 2πn.
  5. Use equations to compute α and I.

🔷 Sample Calculation:

n = 25 revolutions
t = 6 s
m = 0.2 kg
r = 0.02 m

α = (4 π n) / t² ≈ 8.73 rad/s²
T = m(g - rα) ≈ 0.2 × (9.8 - 0.1746) = 1.925 N
I = Tr / α = (1.925 × 0.02) / 8.73 ≈ 0.0044 kg·m²

🔷 Precautions:

81. What is the main objective of the flywheel experiment?




82. Which of the following quantities is directly measured using a stopwatch in the flywheel experiment?




83. What is the angular displacement in radians if a flywheel makes 10 revolutions?




84. The formula for angular acceleration used in the experiment is:




85. Which of the following represents torque in the flywheel experiment?




86. Which physical quantity is calculated using the formula \( I = \frac{Tr}{\alpha} \)?




87. The unit of moment of inertia in SI system is:




88. What is the role of the radius of axle in calculating moment of inertia?




89. Which formula gives the tension in the string during the experiment?




90. Why is it important to ensure that the string does not slip on the axle?




91. What is the angular displacement if the wheel completes 30 revolutions?




92. What does the term 'α' represent in rotational kinematics?




93. What kind of motion does the flywheel undergo?




94. In the equation \( \tau = Tr \), where \(\tau\) is the torque. Now, what does 'T' stand for?




95. Which of these steps is not required in the flywheel experiment?




96. Which instrument is commonly used to measure the radius of the axle?




97. The role of the falling mass is to:




98. What is the value of angular displacement for 1 revolution?




99. The SI unit of torque is:




100. Which quantity is considered constant during the descent in the flywheel experiment?




After completing the Quiz press Submit and Email

Please download the csv file and send to the email: josemathew@thecochincollege.edu.in