11-15
Answer all please. Just give the answer. No need for lengthy solutions or explanations.
11 15 Answer All Please Just Give The Answer No Need For Lengthy Solutions Or Explanations 1 (217.87 KiB) Viewed 24 times
Question 11 1 pts A particle P of mass 2 units moves on the positive x-axis under the force field 4-x² F x² Initially P is released from rest at the point x = 4. What are the extreme points? x = -2,2 x = -1,-4 x = 0,4 x = 0,2 x = 1,4 Question 12 1 pts A particle P of mass 2 units moves on the positive x-axis under the force field 4-2² F x² Initially P is released from rest at the point x = 4. What is the period of the motion? Oft X dx (x-1)(x-4) 02f₁ 02 f₁ 02 f₁ (x+1)(x+4) O dx dx (x-1)(x-4) x (x-1)(x-4) dx (x-1)(x-4) dx √ Question 13 1 pts A particle P of unit mass can slide freely along a long straight wire. P is connected to a fixed point A, which is at a distance 4a from the wire, by a light elastic cord of natural length 3a and strength k. The total energy is given by 0²1/ x² + k (a² + x² ) 1²/1x² + ²/2 (a² + x²) O² + (a²+ ) O² + k (a² + # ) 2 O² + ²
1 pts Question 14 A particle P of unit mass can slide freely along a long straight wire. P is connected to a fixed point A, which is at a distance 4a from the wire, by a light elastic cord of natural length 3a and strength k. Find the approximate period of small oscillations of P about its equilibrium position. 03T √ 2TT. √ OVE OAT√VE 4π OBAVE k Question 15 A smooth wire has the form of the cycloid X = c(0+ sin 0), y = 0, z = c(1 − cos 0), where c is a positive constant and πT ≤0<T. The wire is fixed, with the +z-axis pointing vertically upwards. A particle can slide freely on the wire. Which of the following gives simplest form of the energy conservation equation for the system? (1 + sin €)ė² + ² (1 − sin 0) = constant (1 - Cos s0)² + ²/(1+ cos 0) = constant (1 + cos Cos 0) 0² +(1 - cos 0) = constant (1 + cos 0)² + ²/(1 − cos 0) = constant O² + (1 - cos 0) constant = 1 pts
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