Question

A small block (s) of mass ms = 30 kg sits on a fixed ramp of angle a = 30 deg, height h = 4 m, and coefficients of friction static js = 0.6 and dynamic Hd = 0.3. Block S is connected to the base of the ramp by a linear spring of constant k = 700 N/m and on the other side to a large block (B) of mass m3 = 100 kg hanging over a pulley. The system is held at rest with B at the top and the spring unstretched (1. = 0.5 m). B h S coco e 10. The system is released from rest. Find acceleration a of the blocks immediately after release. Find the tension T from the cable. 12. When the system reaches equilibrium, how far has block B moved? 11.

Answer 1

Soll Ms = 30kg = 30° Th th al 10 Toog 30g (ongo 0 Ma=0.3 ch=4m 30g Sin30 ls= 0.6 ma Ke 700NIM g = 10 m/s2 = 100 kg (10) &= lldN 0.3x30 g (4430 d 0.3 X JÓ x 10 x 3 2 f = 77.94 N then. -I = 100 9. 100g T- zog sin 30 - f o e @ = 304 22 add -77.94 = 130 a a 5.93 m/s2 Acceleration of blocks loog -30g x 1 la put a in 100g - (1 100 T 100 x 593 ī 10/10-5.93 I = 407 4] tension in lable

(12) after System reach moving distance y' by block B, the equilibe burium Ia Msglind - kx = 0 T = Ms g since tka 407 = 30x10x t 700 2 6² 0.367 m
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