Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks to identify the correct diagram that shows the forces acting on a person running on...
PhysicsForcesFrictionNormal ForceTorqueMechanics
2025/6/26
Find the distance of the center of gravity from point A on the line AB. The figure is a square of si...
Center of GravityArea CalculationGeometric ShapesIntegration (implicitly)
2025/6/26
The problem describes a spherometer used to measure the depth of a hole in a metal piece. The pitch ...
MeasurementPhysicsSpherometerLeast CountError Analysis
2025/6/26
Two children, A and B, are hanging on a massless, frictionless pulley as shown. Child A is standing ...
PhysicsNewton's LawsMechanicsPulleyAccelerationMassForces
2025/6/26
A 1 kg spring balance is attached to the ceiling of an elevator. An object A is suspended from the s...
PhysicsNewton's Laws of MotionApparent WeightAccelerationSpring Balance
2025/6/26
The problem describes a normal reaction force acting on an object and asks which of the given statem...
PhysicsNormal ForceForcesMechanics
2025/6/26
The problem asks to identify which of the given quantities has different dimensions compared to the ...
Dimensional AnalysisPhysicsKinetic EnergyPotential EnergyPressureAngular Momentum
2025/6/26
We are given a Vernier scale where 39 main scale divisions are divided into 20 Vernier scale divisio...
MeasurementVernier ScaleLeast CountPhysics
2025/6/26
The problem states that an object experiences a torque $\tau$ and an angular acceleration $\alpha$. ...
PhysicsTorqueMoment of InertiaDimensional Analysis
2025/6/26
The problem describes a system in equilibrium with three masses A, B, and C suspended by massless ro...
StaticsTorqueEquilibriumPhysicsLinear Equations
2025/6/26