đ physics
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Moment Problems
1. **Problem (31):** Given moments $M_B=8$ N.cm and $M_C=12$ N.cm for forces acting in plane of $\triangle ABC$, find $M_D$.\n\nSince moments relate proportionally to distances in
Moments Force
1. Problem (36): Given two rods AO and OB each 50 cm long with forces acting as follows: 16\sqrt{2} N force at 45° downward/right along AO, 20 N horizontal left along AO, and 30 N
Linear Motion
1. Stating the problem: We are asked to formulate and solve a linear motion problem using algebra.
2. Linear motion involves an object moving at a constant speed. The fundamental f
Heat Specific
1. āϏāĻŽāϏā§āϝāĻž: āϤāĻžāĻĒā§āϰ āĻāĻāĻā§ āĻāϰā§āϰ āĻāĻāĻ āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻāϰāϞ⧠āĻā§āύ āĻāĻāĻ āĻĒāĻžāĻā§āĻž āϝāĻžā§?
2. āĻĒā§āϰāĻĨāĻŽā§ āĻĻā§āĻāĻŋ āĻĒā§āϰāĻļā§āύā§āϰ āĻ
āϰā§āĻĨ: āϤāĻžāĻĒā§āϰ āĻāĻāĻ (āϝā§āĻŽāύ: āĻā§āϞ, J) āĻĨā§āĻā§ āĻāϰā§āϰ āĻāĻāĻ (āϝā§āĻŽāύ: āĻāĻŋāϞā§āĻā§āϰāĻžāĻŽ, kg) āĻĻāĻŋā§ā§ āĻāĻžāĻ āĻāϰāϞ⧠āĻāĻŽāϰāĻž āĻāĻŋ āĻāĻŋ
āϤāĻžāĻŽāĻžāϰ āϤāĻžāĻĒāϧāĻžāϰāĻŖ
1. āĻĒā§āϰāĻļā§āύāĻāĻŋ āĻšāϞā§: āϝāĻĻāĻŋ āϤāĻžāĻŽāĻžāϰ āĻāĻĒā§āĻā§āώāĻŋāĻ āϤāĻžāĻĒ āĻā§āώāĻŽāϤāĻž $400\,\text{kg}^{-1}K^{-1}$ āĻšāϝāĻŧ, āϤāĻžāĻšāϞ⧠5 āĻā§āĻāĻŋ āϤāĻžāĻŽāĻžāϰā§āϰ āĻŽā§āĻ āϤāĻžāĻĒāϧāĻžāϰāĻŖ āĻā§āώāĻŽāϤāĻž āĻāϤ āĻšāĻŦā§?
2. āĻāĻĒā§āĻā§āώāĻŋāĻ āϤāĻžāĻĒ āĻā§āώāĻŽāϤāĻž āĻŦāĻž āύāĻŋāϰā§āĻĻāĻŋāώā§āĻ āĻāϤā§āϤāĻžāĻĒ āĻšāϞ 1 āĻāĻŋāϞā§
Focal Length
1. **State the problem:** We want to determine the focal length $f$ of a given lens using the experiment described, to check if it can replace a damaged spectacle lens.
2. **Explai
Focal Length
1. **State the problem:** Determine the focal length $f$ of a given lens to check if it can replace a damaged spectacle lens.
2. **Given:** Hypothesis focal length range is $8.0\te
Precision Accuracy
1. **State the problem:**
We have three groups measuring the length of a board with given trial measurements. The actual length is 2.5 m.
Diffusion Equation
1. The diffusion equation, often written as $$\frac{\partial u}{\partial t} = D \frac{\partial^2 u}{\partial x^2},$$ describes how a substance diffuses over time along one spatial
Car Speed Analysis
1. **State the problem:** Given the speed-time graph of a car, find:
a) Acceleration during first 8 seconds.
Average Speed
1. The problem states a vehicle travels between two towns, Lobi and Pojo, covering the first half of the distance at 60 km/h and the second half at 90 km/h. The total distance is 3
Pressure Temperature
1. Given a gas at constant volume, pressure and temperature are related by Gay-Lussac's Law: $$\frac{p_1}{T_1} = \frac{p_2}{T_2}$$
2. From the first heating step, initial temperatu
Pressure Air Tyre
1. **State the problem:** We are given a volume of air in a tyre: $4000$ cm$^3$. We need to calculate the pressure $p$ in Pascals (Pa).
2. **Assume ideal gas behavior and apply Boy
Volume Pressure
1. **State the problem:**
We have air initially at atmospheric pressure $P_1 = 100000$ Pa. It is pumped into a tyre where the pressure is $P_2 = 550000$ Pa and volume is $V_2 = 300
Volume Air
1. The problem involves finding the volume of air in two conditions: at atmospheric pressure and inside a tyre.
2. Typically, the volume inside the tyre, $V$, can be related to atm
Gas Volume Pressure
1. We are given that the initial pressure $p_1 = 500000$ Pa and initial volume $V_1 = 10$ cm$^3$. The atmospheric pressure is $p_2 = 100000$ Pa.
2. Using Boyle's Law, which states
Hamiltonian Velocity
1. āĻĒā§āϰāĻļā§āύāĻāĻŋ āĻŦā§āĻā§ āύāĻŋāĻ: āĻšā§āĻŽāĻŋāϞāĻāύā§āϰ āύāĻŋāĻā§ āĻĨā§āĻā§ āĻ
āϰā§āĻĨāĻžā§ āĻšā§āĻŽāĻŋāϞāĻāύā§āϰ āĻ
āύā§āĻā§āϰāĻŽā§ āĻāϤāĻŋāϰ āϏāĻŽā§āĻāϰāĻŖ (Hamilton's equations) āĻĒā§āϰāϤāĻŋāώā§āĻ āĻž āĻāϰāϤ⧠āĻšāĻŦā§āĨ¤
2. āĻšā§āĻŽāĻŋāϞāĻāύā§āϰ āĻāĻžāĻŖāĻŋāϤāĻŋāĻ āĻāĻžāĻ āĻžāĻŽā§ āĻšāϞ⧠$H(q,p,t)$ āϝā§āĻāĻžāύ⧠$q$ āĻšāϞā§
Speed River
1. Ų
ØŗØĻŲŲ ØąØ§ Ø¨ÛØ§Ų ÚŠŲÛŲ
: ØŗØąØšØĒ ŲØ§ÛŲ Ø¯Øą Øĸب ØąØ§ÚŠØ¯ $v_b=100$ Ų
ØĒØą Ø¯Øą دŲÛŲŲ Ø§ØŗØĒ.
2. ŲØ§ØĩŲŲ ØąŲØĒ Ų Ø¨ØąÚ¯Ø´ØĒ $d=1200$ Ų
ØĒØą Ø§ØŗØĒ.
Vector Sum
1. State the problem: Which diagram satisfies the vector equation $\vec{C}=\vec{A}+\vec{B}$?
1. Explain the criterion: The sum $\vec{A}+\vec{B}$ is formed by placing $\vec{B}$ head
Trap Door Force
1. **State the problem:**
We have a trap door hinged at point A with width 100 cm.
Moment Pull
1. **Problem statement:** A girl uses a spanner of length 20 cm and pulls at right angles with a force of 50 N. We need to calculate the moment of her pull.
2. **Understanding the