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