STAT:010117The moment of F about axis AB is 5sqrt2 kN m from either A or BView access optionsStatics Position Cross MomentStatics Axis Moment InvarianceVectors, moments, couples, and equivalent force systemsEngineering Statics · Mixed review—
STAT:010118Three concurrent tensions sum to 50(2,1,3) kN; the equilibrant is the opposite vectorView access optionsStatics Concurrent Force SumStatics Equilibrant Direction CosinesVectors, moments, couples, and equivalent force systemsEngineering Statics · Mixed review—
STAT:010132Two equal-opposite force pairs leave the free couple (-3,0,-8) kN mView access optionsStatics Force Pair Moment AS Free CoupleStatics Resultant Vanishes Origin IndependenceVectors, moments, couples, and equivalent force systemsEngineering Statics · Mixed review—
STAT:010133Forces (4,0) at (0,2), (0,6) at (3,0), (-1,-2) at (1,1) plus +3k give R=(3,4), Mo=12, line 4x-3y=12, closest (48/25,-36/25)View access optionsStatics Planar Resultant And Origin MomentStatics Line OF Action From Moment MatchVectors, moments, couples, and equivalent force systemsEngineering Statics · Mixed review—
STAT:010134r=(2,-1,1), Fx=3, Mz=11, F·(i+j+k)=12 recover F=(3,4,5); r×F=(-9,-7,11) and r·M=0View access optionsStatics Moment Component From Cross ProductStatics Unnormalized Projection IS Not Direction CosineVectors, moments, couples, and equivalent force systemsEngineering Statics · Mixed review—
STAT:010219Cable tensions 5/3, 20/3, 20/3 kN keep the ring in equilibriumView access optionsStatics Spatial Particle Force BalanceStatics Cable Tension Sign AuditParticle and rigid-body equilibriumEngineering Statics · Mixed review—
STAT:010220Vertical ties carry 6 kN and 4 kN; the ball-and-socket reaction is (-4,3,2) kNView access optionsStatics Spatial Rigid Body MomentsStatics Ball Socket Tie ReactionsParticle and rigid-body equilibriumEngineering Statics · Mixed review—
STAT:010221The two-force link carries 10 kN; the pin reaction (8,2) kN meets the other two lines at (3,3/4)View access optionsStatics Three Force ConcurrencyStatics Two Force Member DirectionParticle and rigid-body equilibriumEngineering Statics · Mixed review—
STAT:010235Smooth normals n1=(3/5,4/5), n2=(-4/5,3/5) with P i and 70 downward give N1=56-3P/5, N2=42+4P/5; contact iff -105/2<=P<=280/3View access optionsStatics Two Smooth Normal EquilibriumStatics Unilateral Reaction Sign WindowParticle and rigid-body equilibriumEngineering Statics · Mixed review—
STAT:010236Pin A at x=0 and upward roller B at x=4 with 12 down at x=-1 and P down at x=6: By=(3P-6)/2, Ay=15-P/2; contact iff P>=2View access optionsStatics Pin Roller Overhang Moment BalanceStatics Upward Roller Liftoff ThresholdParticle and rigid-body equilibriumEngineering Statics · Mixed review—
STAT:010322One section through BC, BE, and DE reads the three cut forces; joints and zero-force are not the methodView access optionsTruss Global Support ReactionsMethod OF Sections Three CutTrusses, frames, and machinesEngineering Statics · Mixed review—
STAT:010323The hinge at B transmits force, not a couple; B on AB is not the force on BCView access optionsInternal Hinge DisassemblyThree Pin Frame EquilibriumTrusses, frames, and machinesEngineering Statics · Mixed review—
STAT:010324Stage arms 0.60/0.15 and 0.20/0.05 multiply to 16P; the pins are 5P up and 20P downView access optionsCompound Lever Mechanical AdvantagePin Reaction Action Reaction AuditTrusses, frames, and machinesEngineering Statics · Mixed review—
STAT:010337Triangle A(0,0),B(4,0),C(0,3) with three vertical rollers has m+r=2j=6 but support-wrench rank 2 and a horizontal mechanismView access optionsStatics Truss Count Necessary Not SufficientStatics Support Wrench Rank MechanismTrusses, frames, and machinesEngineering Statics · Mixed review—
STAT:010338Symmetric cable span 8 sag 2 under w=3 kN/m has H=12, support tension 12sqrt2, midspan y=x^2/8, slope 1, midspan tension 12View access optionsStatics Parabolic Cable Horizontal ThrustStatics Cable Support Slope TensionTrusses, frames, and machinesEngineering Statics · Mixed review—
STAT:010425The hole subtracts area; y-bar stays on the midline and x-bar is not the hole centerView access optionsComposite Area Signed First MomentCentroid Symmetry And HoleDistributed loads, centroids, and resultantsEngineering Statics · Mixed review—
STAT:010426Three orthogonal wires have r_G=(16/25,27/50,8/25); gravity about O is not a wrench pitchView access optionsComposite Wire Mass CenterGravity Moment About OriginDistributed loads, centroids, and resultantsEngineering Statics · Mixed review—
STAT:010439Vertical gate width 2 height 3 with top at the free surface and gamma=10 has F=90, center of pressure at depth 2, moment about the top 180View access optionsStatics Hydrostatic Resultant ON RectangleStatics Center OF Pressure Versus CentroidDistributed loads, centroids, and resultantsEngineering Statics · Mixed review—
STAT:010440T-section web 2x3 on y=0..3 and flange 6x1 on y=3..4 has areas 6 and 6, ybar=5/2, Ix=17, Iy=20, Ixy=0View access optionsStatics Composite T Section CentroidStatics Parallel Axis Second MomentsDistributed loads, centroids, and resultantsEngineering Statics · Mixed review—
STAT:010441Linear p=3x+6y on 0<=x<=2, 0<=y<=1 has R=(0,0,-12), M_O=(-7,14,0), vertical resultant through (7/6,7/12)View access optionsStatics Linear Pressure Force ResultantStatics Distributed Moment Line OF ActionDistributed loads, centroids, and resultantsEngineering Statics · Mixed review—
STAT:010527A pushed block tips before it exhausts static frictionView access optionsTip Versus Slide ThresholdContact Resultant EccentricityDry friction and impending motionEngineering Statics · Mixed review—
STAT:010528A half-wrap capstan doubles tension at impending slipView access optionsCapstan Differential EquilibriumBelt Friction Torque CapacityDry friction and impending motionEngineering Statics · Mixed review—
STAT:010529A square-thread screw raises easily enough but still self-locksView access optionsPower Screw Friction AngleSelf Locking And EfficiencyDry friction and impending motionEngineering Statics · Mixed review—
STAT:010542Horizontal P on a 3-4-5 rough incline with W=100 and mu_s=1/2 admits 200/11<=P<=200; f=+500/11 downslope-impending, f=-100 upslope-impending, and f=0 at 75View access optionsStatics Horizontal Push Incline ResolutionStatics Signed Coulomb Rest WindowDry friction and impending motionEngineering Statics · Mixed review—