Question

Problem 5. A block of unknown mass is attached to a spring with a force constant of 8.00 N/m and under- goes SHM on a horizontal, frictionless surface with an amplitude of 12.0 cm. The ofther end of the spring is fixed. When the block is halfway between its equilibrium position and the end point, its speed is 30.0 cm/s Calculate (a) the mass of the block (b) the period of the motion (c) the maximum acceleration of the block

Answer 1

Solution Given - Spring force Constant 28.000/m Amplitude 2 12.01m speed 2 30.ocmis the sto mass of the block position can be expresed The speed of sito Waskim : period of oscillate NI wh SI CA2-x2) K CAP-X2) Top & mass of the block V2 30.0(MIS 20.30 m/s mek (A2_x2) subtituting vakel K2 8.00 NIM me 8 Cloon M2 8.00 [C.12 )2 – (0.06}] A. 12.0cm (0. 32 Given the position of the osullator m 201 9623 x. 12 2 6 cm TM 20.96 kg 2) 0.06m The period Anqular frequeng wa of motion Ikimo J 810.962 2.88 radis 23ly TO 292 293, nyt 32-19 sec 32.18 See

③ The maximum of the block acceleration ama W2A maximum Acceleration Given A20.12m W22.88 radis ama (2.88)2 +0.12 lame 0.995 Mis2