1. Find TATA, the tension in string A. 2. Find TBTB, the magnitude of the tension in string B.
The figure (Figure 1) shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m1m1m_1 = 90.0 kgkg and length LLL = 5.40 mm is supported by two vertical massless strings. String A is attached at a distance ddd = 1.70 mm from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m2m2m_2 = 3000 kgkg is supported by the crane at a distance xxx = 5.20 mm from the left end of the bar.
Throughout this problem, positive torque is counterclockwise and use 9.80 m/s2m/s2 for the magnitude of the acceleration due to gravity.
1. Find TATA, the tension in string A.
2. Find TBTB, the magnitude of the tension in string B.
Newton's Second Law of Motion
According to Newton's Second Law of motion, the rate of change of momentum of an object is directly proportional to the net external force acting on the object. Mathematically it is given as
The LHS is the net external force acting on an object of mass m causing an acceleration a.
In case of rotation, the net external torque acting on a rigid body is equal to the product of the moment of inertia and the angular acceleration
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