Use the properties of dot product and vector cross product to find the required solution as shown below
3) A wrench is used to tighten a lug nut on a car, if the force is applied to the wrench at a distance 7 from the center of the nut, the radius and force vectors are given below. Calculate the magnitude of the torque vector i acting on the wrench. If the force and radius vectors are in the plane of the page, what direction is the torque into the page or out of the page)? = 'xi o...
2) A rope is attached to a wall in three-dimensional space, the other end of the rope is attached to a metal pole that is supported by the rope. The tension force in the rope (Fr) and the position vector () that is directed along the metal pole are given below. What is the magnitude of the force along the metal pole (Fu)? F = (+600 N)<+ (+200 N)ỹ + (-200 Nữ 1 = (+3 m)X + (-1 m)9+(+2m)2 rope...
7) Calculate vector ĉ if vector ĉ is equal to the Cross Product of vector ä crossed with vector b, ¿ = axb ā= (4 m) + (-7 m) b = (10 N)X + (-3 N)9 8) A wrench is used to tighten a lug nut on a car, if the force F is applied to the wrench at a distance † from the center of the nut, the radius and force vectors are given as =(0.6 m)2+(-0.419 =(-12 N)X...
it to page D Page view A' Read aloud 2 3.The wheel on a car is held in place by four nuts. Each nut should be tightened to 94.0 Nm of torque to be secure. If you have a wrench with a handle that is 0.250 m long, what minimum force do you need to exert perpendicular to the end of the wrench to tighten a nut correctly? 4. The pulley shown in the illustration has a radius of 2.70...
After changing a tire on your car, you need to tighten one of the lug nuts to the proper specified torque of 24.0 Nm. How much force is needed if you're pushing down on the end of the 34.0 cm long torque wrench at an angle of 120° with respect to the wrench shaft? O 81.5 N 70.6 N 0 141 N O 7.07 N Question 3 A baseball, with radius 3.20 cm and mass 0.260 kg, is rolling along...
A force, = (6 + 3 ) N, is applied to an object at a point whose position vector with respect to the pivot point is = (5 + 4 + 3 ) m. Calculate the torque (in units on Nm) created by the force about that pivot point. A) Tx = B) τy = C) τz =
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...
A metal bar is in the xy-plane with one end of the bar at the origin. A force F =( 6.39 N )i +( -3.16 N )j is applied to the bar at the point x = 2.29 m, y = 3.19 m.A) What is the position vector r⃗ for the point where the force is applied?Enter the x and y components of the radius vector separated by a comma.*B) What is the magnitude of the torque with respect to...
1. (a) Force F = -21 - 4 (N) is applied to a metal bar in the x-y plane with one end of the har at the origin. The point on the bar of application of the force is (x = -2m, y - 4m). Use the position vector (1) of the point of action of the force to find the magnitude and direction of the torque. Hint: Employ method of determinant to find cross product (6pts) Show working px...
QUESTION 22 A horizontal power line of length = 58.0 m carries a current of 1 = 2.20 kA northward as shown in th figure. The Earth's magnetic field at this location has a magnitude of B = 5.00.1051. The field at this location is directed toward the north at an angle = 65.0" below the power tine. Find the magnitude Fand the direction of the magnetic force on the power line. South North F: 2.70 N. into the page....