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