Problem 8: A uniform beam of mass m = 4.4 kg and length L = 1.1 m can rotate abo

Question

Problem 8: A uniform beam of mass m = 4.4 kg and length L = 1.1 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 5.5 N, F2 = 3.5 N, F3 = 10.5 N and F4 = 15 N. F2 acts a distance d = 0.24 m from the center of mass.

m = 4.4 kg

L = 1.1 m

F1 = 5.5 N

F2 = 3.5 N

F3 = 10.5 N

F4 = 15 N

d = 0.24 m

Part (a) Calculate the magnitude ?1 of the torque due to force F1 in N ? m.

Numeric   : A numeric value is expected and not an expression.

?1 = __________________________________________

Part (b) Calculate the magnitude ?2 of the torque due to force F2 in N ? m.

Numeric   : A numeric value is expected and not an expression.

?2 = __________________________________________

Part (c) Calculate the magnitude ?3 of the torque due to force F3 in N ? m.

Numeric   : A numeric value is expected and not an expression.

?3 = __________________________________________

Part (d) Calculate the magnitude ?4 of the torque due to force F4 in N ? m.

Numeric   : A numeric value is expected and not an expression.

?4 = __________________________________________

Part (e) Calculate the angular acceleration ? of the beam about its center of mass in radians/s2. Let the counter-clockwise direction be positive.

Numeric   : A numeric value is expected and not an expression.

? = __________________________________________

Problem 8: A uniform beam of mass m = 4.4 kg and length L = 1.1 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 5.5 N, F2 = 3.5 N, F3 = 10.5 N and F4 = 15 N. F2 acts a distance d = 0.24 m from the center of mass.

Explanation / Answer

a)t1=5.5*0.55=3.025N-m

b)t2=3.5*0.24=0.84N-m

c)distance is known do the same as above

d)distance is known do the same as above

e)ang.a=t/I=

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