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📘 mechanics

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Origin Dependence
1. **Problem statement:** We analyze two quantities in mechanics: linear momentum $\mathbf{p}$ of a particle and the quantity $\mathbf{r} \times \mathbf{p}$, where $\mathbf{r}$ is
Pulley Acceleration
1. **Problem statement:** We have two objects A and B connected by a light inextensible string over a smooth fixed pulley.
Lift Tension
1. Problem a) states: A lift and person with total mass 1200 kg descend with acceleration $\frac{g}{10} = 1$ m/s$^2$ downward. Find the tension in the cable. 2. The forces on the l
Force Couple System
1. **State the problem:** We have a force-couple system at point C with force $$\mathbf{C} = -8\mathbf{i} + 0\mathbf{j} + 4\mathbf{k}$$ lb and couple moment $$\mathbf{M}_C = 5(360)
Find Izz Kxx Kyy
1. The problem asks to find the values of $I_{zz}$, $k_{xx}$, and $k_{yy}$. 2. Typically, $I_{zz}$ represents the moment of inertia about the z-axis, and $k_{xx}$, $k_{yy}$ are sti
Centroid Values
1. Largest Value of P calculation: Given options are:
Reaction Force
1. **Stating the problem:** You need to understand how to use different formulas for mechanical actions, especially for calculating the reaction force of a plane and determining th
Forces Geometry
1. **Problem Statement:** Given a quadrilateral PQRS where points P, Q, R, S are such that PQ=QR=RS=PN, and QS is a line with point M on SR where PM=KMN and QM=KMS. We are given:
Mass Weight Rim
1. **Stating the problem:** We need to find the mass and weight of the rim of a pulley. Given:
Beam Deflection
1. The question is about recommending a YouTube channel for studying the calculation of deflection of beams using virtual work. 2. I am a math TA and tutor focused on math and phys