Answer to Question #187240 in Electrical Engineering for Kubilay

Question #187240

The 25-kg block shown in figure moves on a plane with two attached springs. Determine the 

acceleration of the block at B using Force and acceleration. The spring1 has a stiffness k1 = 

200 N/m and unstretched length is 0.4 m. The spring2 has a stiffness k2 = 100 N/m and 

unstretched length is 0.7 m. The coefficient of kinetic friction between the crate and the plane 

is μk = 0.3.


1
Expert's answer
2021-05-05T07:41:03-0400
"ma=-F-\\mu N+k_2\\Delta x_2+k_1\\Delta x_1\\cos{30}\\\\\nma=-F-\\mu (mg+k_1\\Delta x_1\\sin{30})\\\\+k_2\\Delta x_2+k_1\\Delta x_1\\cos{30}"

"25a=-100-0.3(25(9.8)+(200)(0.8-0.4)\\sin{30})\\\\+(100)(0.7-0.5)+(200)(0.8-0.4)\\cos{30}"

"a=3.85\\frac{m}{s^2}"


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