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- (Please explain)In a collision of disks, where the system is not isolated because of the existence of friction. How is it possible that conservation of angular momentum is still valid to a relatively good accuracy?arrow_forwardHE Problem 9: Consider the sign shown in the figure, which has a mass of m= 8.2 kg. sin() cos() cotan() asin() atan() acotan() cosh() tan() IT ( acos( E sinh( tanh() cotanh() Degrees O Radians Submit Hint 7 8 9t 45 6 123 0 * - VONOMICE Part (b) What force, in newtons, is exerted by each side on the hinge? rt (a) What minimum coefficient of friction is needed between the legs and the ground to keep the sign in the position shown if the chain breaks? F Hinge TENI CHAN Chain- co ca 0.50m Uniform board (co at center) 1.10 m 1.30marrow_forwardA star of radius R = 2.3 * 108m rotates with an angular speed v = 2.4 * 10-6rad>s. Ifthis star collapses to a radius of 20.0 km, find its final angular speed. (Treat the star as if itwere a uniform sphere, and assume that no mass is lost as the star collapses.)arrow_forward
- (2) (a) Find the equation of orbit when a particle is in a central force, f(r) = -+, where k and c are positive constants. (b) State the major effect caused by the inverse cubic repulsive force. ( -State ît. Dont need mathemtiral representa Tion Pa. 251-253 k %3! a vT) = Br potential, B is a positive constant. Find the shape ofarrow_forwardIn a 2-body system, a space craft is in a circular orbit at a fixed radius B (450*10^8) around a central star of mass M (6*10^120) Determine the total energy and angular momentum of the circular orbit. (v/m = -E/m) and angular momentum (l/m) Both of these values are normalised by the mass of the spacecraft.arrow_forward1. The total linear moment um is (a) conserved (b) non-conserved (c) impose (d) non-impose 2. The generalized moment um is ƏL (а) р; — (b) р; — тӑ, (c) Pj = mq; ƏL (d) р; — 3. For hyperbolic orbit the values of energy E and eccentricity ɛ are (a) E = 0 and ɛ > 1(b) E > 0 and ɛ > 1(c) E > 0 and ɛ = 1(d) E > 0 and e = 0 4. The latitude of a place where the plane of vibration of a pendulum rotat es once a day is (а) 90° (b) 60° (c) 45° (d) 30° 5. The Lagrange's equations of motion for a sy stem is equivalent to. of motion. .equat ions (a) Newt on's (b) Laplace (c) Poisson (d) Maxwell's 6. In a cycloe the wind whirls in the sense in the nort hern hemisphere (a) upwards (b) downwards (c) clockwise (d) anticlockwise 7. The n-dimensional space is called space (a) solar (b) configuration (с) real (d) zero Mathematics An alytical Mechanics (Math-363) Page 2 of 2 8. Generalized coordinates (a) Depends on each other (b) Independent on each ot her (c) necessarily spherical coordinat es (d) May be…arrow_forward
- 176. The moment of the force, F = 4î +53- 6k at (2,0,-3), about the point (2,-2,-2), is given by (1) –8î – 43 – 78 (2) –7î – 43 – 8Å (3) –7î - 83-4k (4) –4î – 3– 8Âarrow_forward6. A uniform circular disc of mass m and radius 2a . centre O, is smoothly pivoted at a point A, where OA=a. (i) Find the moment of inertia of the disc about an avis through A perpendicular to the plane of the disc. The disc is free to rotate in a vertical plane about the axis through A. Given that the disc is held with O directly above A and then slightly displaced so that it swings in a vertical plane, (ii) show that in the ensuing motion, de 3a dt = 29(1 – cos0), %3D where o is the angle AO makes with the upward vertical.arrow_forwardTwo masses interact under an attractive conservative central force. The total energy is given by 12 +U(r), 2µr2 1 .2 E ur + where l is the angular momentum. Assume that the potential energy has the form U (r) = k r". (a) Find the values of n for which stable circular orbits exist.arrow_forward
- 1 ) James wants to use a dsill, He needs to Know if it Spins fast 1.2 x 10" 쁜 to 3.72 x104 enough, He sees that one is advertised for rad to 3.72 x 104 rad through an ang le of 2.7x10" rad. is the angular accelesa tion B) What is the time it takes flsas to go from 2.00 x104 rad to 8.53 x104 rad ?arrow_forwardConsider a double pendulum consists of two-point masses m which are connected by strings of length / as shown in the figure below. Determine canonical momenta associated with the coordinates a and 0,. Answer Choices: P, = 2ml'è +mfè̟cos(e - e,) Pa = mFè, +ml*0, cos(e, -e,) P, = 2ml'ė, + mi è cos(e -6.) a. b. Pa = mFe, + ml*è, cos(e, -e,) Pa = ml'è, + mt è̟ cos(e - e.) C. P = ml'6, + ml*6 cos (e -e,) Pa = mfà +ml è̟ cos(4 - e.) d. P. = 2ml*0, + mľ²0, cos( e - e,)arrow_forwardA particle with mass m and position vector r moves under a force F U = c) What is the radial distance r, as a function of ? km |r|³ a) Give the u-equation in terms of the constant k, the mass m, and the angular momentum (about the z-axis) h. d0² r = ∙er, where k is a positive constant. b) Give the solution for this differential equation, under the condition that at 0 = 0, u = a and - m du de b.arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning