A) The branch of physics that deals with the motion of objects. B) The study of electricity and magnetism. C) The science of sound waves. D) The study of heat transfer.
A) Kilometers per hour (km/h) B) Miles per hour (mph) C) Meters per second (m/s) D) Feet per second (ft/s)
A) At every point in its trajectory B) At the moment it is released C) At the lowest point of its trajectory D) At the highest point of its trajectory
A) The body is decelerating B) The body is moving with constant velocity C) The body is at rest D) The body is undergoing constant acceleration
A) Distance B) Acceleration C) Displacement D) Speed
A) Linear acceleration B) Centripetal acceleration C) Angular acceleration D) Tangential acceleration
A) Velocity B) Displacement C) Acceleration D) Speed
A) Increase in speed B) No motion C) Deceleration D) Constant velocity
A) v = u + 1/2at B) s = ut + (1/2)at2 C) v2 = u2 + 2as D) v = u + at
A) Hexagonal and octagonal coordinates. B) Spherical and cylindrical coordinates. C) Cartesian and polar coordinates. D) Binary and decimal coordinates.
A) Albert Einstein. B) Ibn al-Haytham. C) Isaac Newton. D) Galileo Galilei.
A) The temperature and pressure at the particle's location. B) Only the speed of the particle. C) Both the distance and direction from the origin to the particle. D) The color and shape of the particle.
A) As the total path length divided by the total time taken. B) As the displacement vector divided by the time interval. C) As the speed multiplied by the direction of motion. D) As the instantaneous rate of change of position.
A) It equals the speed of the object. B) It becomes equal to the total displacement. C) It remains constant regardless of the time interval. D) It approaches the instantaneous velocity.
A) Integral B) Sum C) Product D) Change or difference
A) (xA - xB, yA - yB, zA - zB) B) (xA / xB, yA / yB, zA / zB) C) (xA * xB, yA * yB, zA * zB) D) (xA + xB, yA + yB, zA + zB)
A) (vAx + vBx, vAy + vBy, vAz + vBz) B) (vAx / vBx, vAy / vBy, vAz / vBz) C) (vAx - vBx, vAy - vBy, vAz - vBz) D) (vAx * vBx, vAy * vBy, vAz * vBz)
A) (aCx * aBx, aCy * aBy, aCz * aBz) B) (aCx + aBx, aCy + aBy, aCz + aBz) C) (aCx / aBx, aCy / aBy, aCz / aBz) D) (aCx - aBx, aCy - aBy, aCz - aBz)
A) Rigid transformations B) Non-rigid transformations C) Linear transformations only D) Scaling transformations
A) d(r̂)/dt = αθ̂ - ω²r̂ B) d(θ̂)/dt = -ωr̂ C) vP = dr/dt (r̂ + zẑ) D) d(r̂)/dt = ωθ̂
A) 230 B) 6,856 C) 10 D) 16
A) Eight-bar linkage topology. B) Four-bar linkage topology. C) Stephenson topology. D) Watt topology.
A) A kinematic problem B) A dynamic problem C) An equilibrium problem D) A thermal problem
A) vP = (a - vω) r̂ + (a + vω) θ̂ + az ẑ B) vP = d²(r̂)/dt² + d²(θ̂)/dt² + d²(ẑ)/dt² C) vP = r cos(θ(t))x̂ + r sin(θ(t))ŷ + z(t)ẑ D) vP = dr/dt (r̂ + zẑ) = vr̂ + rωθ̂ + vzẑ
A) Harmonic motion B) Pure translation C) Rotational motion D) Projectile motion
A) Non-holonomic constraints B) Holonomic constraints C) Static constraints D) Dynamic constraints
A) 230 B) 6,856 C) 16 D) 1021
A) y-axis B) z-axis C) x-axis D) None of these
A) The velocity matrix B) The rotation matrix defining angular position C) The translational displacement matrix D) The acceleration matrix
A) r(t)r̂ + z(t)ẑ B) r cos(θ(t)) x̂ + r sin(θ(t)) ŷ + z(t)ẑ C) x(t)x̂ + y(t)ŷ + z(t)ẑ D) v(r̂ + θ̂) + vz ẑ
A) ω = ar B) ω = θ¨ C) ω = θ˙ D) ω = aθ
A) An ideal gas B) The pendulum C) The catenary D) A spring-mass system
A) θ̂ = -sin(θ(t))x̂ + cos(θ(t))ŷ B) r̂ = cos(θ(t))x̂ + sin(θ(t))ŷ C) v(r̂ + θ̂) D) ẑ
A) Kinematic coupling B) Rolling without slipping C) Knife-edge constraint D) Holonomic constraint
A) 3×3 homogeneous transform B) 2×2 rotation matrix C) Identity matrix D) 4×4 transformation matrix
A) Radial component: rω, Tangential component: α B) Radial component: ar, Tangential component: aθ C) Radial component: vθ, Tangential component: ω D) Radial component: z^, Tangential component: r^
A) -vω r̂ B) vω θ̂ C) (a - vω) r̂ + (a + vω) θ̂ + az ẑ D) d²(r̂)/dt² = αθ̂ - ω²r̂
A) Symplectic Group Sp(2n) B) Special Euclidean group on Rn (SE(n)) C) General Linear Group GL(n) D) Orthogonal Group O(n)
A) Air resistance B) Gravity C) Friction D) Deformation
A) Euler B) J. Phillips C) Newton D) Reuleaux
A) ω × R_P/O + v_O B) [S]P(t) C) [Ω](P - d) D) A˙p
A) Line contact B) Area contact C) Point contact D) Surface contact
A) Four-dimensional space R4 B) Three-dimensional space R3 C) Two-dimensional space R2 D) One-dimensional space R1
A) Thermodynamics B) Differential equations C) Quantum mechanics D) Applied geometry
A) α = rω2 B) α = vθ C) α = θ¨ D) α = ar |