Mail A A wrench 40 cm long lies along the positive y-axls and grips a bolt at the origin. A force is applied in the direction (0, 4,-3) at the end of the wrench. Find the magnitude of the force ne...
Mail A A wrench 40 cm long lies along the positive y-axls and grips a bolt at the origin. A force is applied in the direction (0, 4,-3) at the end of the wrench. Find the magnitude of the force needed to supply 90 N·m of torque to the bolt Stop 1 The magnitude of the torque τ developed by applying a force F at a point with position vector r at an angle θ to r is given by IT] Ir x F1. In terms of θ and the vector magnitudes, this can be expressed as irl - IrlIFI sin(e) sin (6) Step 2 We have ir 90 N m. We also have r (o, 0-4, 0) and so ir 40 0.4 meters. Step 3 In order to find IF, we will have to find the angle θ between F and r. we can use the equation Step 4 Using the equation above, we see that the angle is as follows. (Round your answer to one decimal place.) 36.9 Now we have the equation 90 0.4 FI sin 36.9%, Solving it for iFI, we conclude force is as follows. (Round your answer to the nearest whole number.)
Mail A A wrench 40 cm long lies along the positive y-axls and grips a bolt at the origin. A force is applied in the direction (0, 4,-3) at the end of the wrench. Find the magnitude of the force needed to supply 90 N·m of torque to the bolt Stop 1 The magnitude of the torque τ developed by applying a force F at a point with position vector r at an angle θ to r is given by IT] Ir x F1. In terms of θ and the vector magnitudes, this can be expressed as irl - IrlIFI sin(e) sin (6) Step 2 We have ir 90 N m. We also have r (o, 0-4, 0) and so ir 40 0.4 meters. Step 3 In order to find IF, we will have to find the angle θ between F and r. we can use the equation Step 4 Using the equation above, we see that the angle is as follows. (Round your answer to one decimal place.) 36.9 Now we have the equation 90 0.4 FI sin 36.9%, Solving it for iFI, we conclude force is as follows. (Round your answer to the nearest whole number.)