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In figure below, a chain consisting of five links, each of mass 0.101 kg, it lif

ID: 1532907 • Letter: I

Question

In figure below, a chain consisting of five links, each of mass 0.101 kg, it lifted vertically with a constant acceleration of magnitude theta = 2.47 m/s^2 Find the magnitude of the force acting between link 1 and link 2 Find the magnitude of the force acting between link 2 and link 3 Find the magnitude of the force acting between link 3 and link 4 Find the magnitude of the force acting between link 4 and link 5 Find the magnitude of the force F exerted on the top link by the person lifting the chain. Find the magnitude of the net force accelerating each link.

Explanation / Answer


Give that; mass m = 0.101 kg, acceleration a = 2.47 m/s^2

Force F = m*a + m*g

(a) Force on link1 from link2 = 0.101*2.47 + 0.101*9.81

= 1.24028 N

(b) Force on link2 from link3 = 1.24028 + 0.101*9.8 + 0.101*2.47

= 2.47955 N

(c) Force on link3 from link4 = 2.47955 + 0.101*9.8 + 0.101*2.47

= 3.71882 N

(d) Force on link4 from link5 = 3.71882 + 0.101*9.8 + 0.101*2.47

= 4.95809 N

(e) Force on link5 from the person = 4.95809 + 0.101*9.8 + 0.101*2.47

=6.19736 N

(f) Net force accelerating each link = 0.101*2.47

= 0.24947 N