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