Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
A 5 kg object A is placed on a rough surface with a coefficient of friction $\mu = \frac{1}{2}$. It ...
PhysicsFrictionNewton's Laws of MotionMechanicsForces
2025/6/26
The problem describes a composite object made of four circular rings A, B, C, and D, with radii $r$,...
Center of GravityPhysicsWeighted AverageComposite Object
2025/6/26
A spring scale of mass 1 kg is attached to the ceiling of an elevator. An object A is suspended from...
PhysicsNewton's LawsDynamicsAccelerationSpring Scale
2025/6/26
A light rod AB is placed on a knife edge. Two cubes of masses 2 kg and 3 kg are placed on the rod at...
StaticsMomentsEquilibriumPhysics
2025/6/26
A block A of mass $m$ is placed on an inclined plane which is part of a cart B of mass $3m$. All su...
PhysicsMechanicsNewton's LawsForcesInclined PlaneEquilibriumTrigonometry
2025/6/26
Four particles with masses 2kg, 4kg, 2kg, and $x$ kg are placed at the vertices of a square. We need...
Center of GravityMechanicsVectorsStatic Equilibrium
2025/6/26
The problem describes a Vernier caliper. The main scale (M) has divisions of 1/2 mm. 49 divisions on...
MeasurementVernier CaliperLeast CountError AnalysisPhysics
2025/6/26
The problem describes a system of masses connected by strings over pulleys. The masses are $m$, $\sq...
StaticsForcesEquilibriumTrigonometry
2025/6/26
The problem describes a four-bar linkage mechanism. Link AB is vertical, BC is horizontal, and CD is...
KinematicsFour-bar linkageAngular VelocityAngular AccelerationVectorsMechanics
2025/6/25
A train initially travels at 30 m/s. After applying the brakes, its velocity decreases by 10% in the...
KinematicsDecelerationDifferential EquationsPowerRetarding Force
2025/6/24