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