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