Give proof to show: Start with to prove l vector = r vector times D vector...

Question

Question

Give proof to show:

Start with xp X and Iw and Tw to prove Y P

Answer 1

Answer #1

part 1:

l=r * p

==>dl/dt= r * (dp/dt)

time rate of change in momentum=force

hence dl/dt=r*F

but r*F=torque

hence proved.

part 2:

l=I*w

==>dl/dt=I*(dw/dt)

but dw/dt=time rate of change of angular velocity=angular acceleration

hence

dl/dt=moment of inertia*angular acceleration=torque applied

hence proved.

Add a comment

Answer 2

Similar Homework Help Questions

(a) Prove that l-x」=-[al and「-2] =- (b) Give a proof by cases that 142] = 1x1+...

(a) Prove that l-x」=-[al and「-2] =- (b) Give a proof by cases that 142] = 1x1+ 1xH + 1x-si + 1x+1 . 3
3. Prove valid by a deductive proof: 1. S (TR) 2. R R 3. (V S)-(W...

3. Prove valid by a deductive proof: 1. S (TR) 2. R R 3. (V S)-(W T)/ .. V D~W 4. Prove valid by a deductive proof: 1. (B. L)VT 2. (BVC) (~LO M) 3.~M /.. T 5. Prove valid by a deductive proof: 1. E.(FVG) 2. (E.G)(HVI) 3. (~HV I)(E . F) /.. H= I
positive, then r +y> V+y 10. If r and y are (a) Quantify this statement. (b)...

positive, then r +y> V+y 10. If r and y are (a) Quantify this statement. (b) Give a careful proof of this statement. (c) Suppose drop the condition that r andy be positive, but add the absolute value: we Show that this proposition is false. (d) What if we are more careful and write Jrl + lyl> Vr2 +y2. Is this now true? 11. Consider the statement: The sum of V2 and a rational number is irrational. (a) How should...

Prove if the following languages are CFL or not. If L is a CFL, give...

Prove if the following languages are CFL or not. If L is a CFL, give its CFG. Otherwise, prove it by Pumping Lemma. If any closure property of CFL is applicable, apply them to simplify it before its proof. L = {wwRw | w {a, b}*} L = {anbjanbj| n >= 0, j >= 0} L = {anbjajbn| n >= 0, j >= 0}
please show the detailed proof，thanks！ 1. Tet R be a relation on Zx Z given by...

please show the detailed proof，thanks！ 1. Tet R be a relation on Zx Z given by (a, b)Rlc,d) if and only if a b or c d. Is R an equivalence relation on Z? Prove your answer.
Show that the given map is surjective. Please give a detailed, thorough formal explanation/proof. It's somewhat...

Show that the given map is surjective. Please give a detailed, thorough formal explanation/proof. It's somewhat obvious it is surjective, but I don't know how to start the proof. We are supposed to take y element of codomain and show that there exists f(x) = y but where is the codomain and where is the domain? Somewhat confused since we have two binary structures. Thanks! 7. (R, :) with (R, :) where 0(x) = x3 for x ER

Prove the result (for a general vector r, vector r') \(del_r (e^{ikR}/R) = -vector (R)/R^{3}...

Prove the result (for a general vector r, vector r') \(del_r (e^{ikR}/R) = -vector (R)/R^{3} *e^{ikR} + ikvector(R)e^{ikR}/R^{2}\) where vector R = r-r', R = |R| and del_r denotes gradient with respect to r.
please show steps for the proof. 11. Prove that A-1 = A

please show steps for the proof. 11. Prove that A-1 = A
(9 marks) Consider L: M2x2(R) + P2 (R) defined by a L b d = a...

(9 marks) Consider L: M2x2(R) + P2 (R) defined by a L b d = a + (b + c)2 + dx?. (a) Show that L is a linear transformation, that is, show that L(sA+B) = 8L(A) + tL(B) for any A, B E M2x2(R) and any st ER. (b) Consider p(x) = ao+a1x + a2x2 € P2(R). Show that L is onto by showing that L(A) = P(x) for some matrix A € M2x2(R). Note that you must give...

8. The position vector r of a point P is a function of the time t...

8. The position vector r of a point P is a function of the time t and r satisfies the vector differential equation d2r dr 2k (k2 n2)r g, dr2 where k and n are constants and g is a constant vector. Solve dr a and dt this differential equation given that r v when t = 0, a and v being constant vectors Show that P moves in a plane and write down the vector equation of this plane...