Question

physics question

The figure shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m - 0.720 kg, and its center is initially at my coordinates (-0.540 m, 0 m); the block has mass m2 = 0.460 kg, and its center is initially at xy coordinates (0, -0.110 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) in unit-vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation? (a) j) (b) Version 4.24.2

Answer 1

SOLN. 0.720 given • F20 kg (-0.54om, om] m2 = 0.460kg ,co.-o.com] Q we take mi and to m2 positive Directions for right and Newton's and low yields the down word respectively mia لیا 2 - m2 g T ma mag .mea cusing (using -o m2 atm, a 11 m₂ g TW ollut eus] bew Il m2 g (mitm) a 0.460 x 9.8 (0.460+ 0.720) 4.S08 1.18 a 3.820 m/s2 CS Scanned with CamScanner

In the co-ordinate system of system given in the figure, the acceleration me and M2 are a, + 3.820 1 a, - 31820) J The acceleration af the centre of maus is acom + m₂ a. mitm. n 0.720 x 3,820 i t 0:460 x (-3.820 h ? 0.720 t 0.460 → 2. I sou î - + S +2 118 -> 2.7504 17 572 Î 1:18 1.18 an (2.3301 1,489 ŷ I mist 6 at Com aco 2.330 it 1.489 9 Vcom Scanned with CS CamScanner