Is the following statement true or false? For a nonzero force applied on a rod, its torque can be zero. True False
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- A metal rod 6.00 m long is held in a horizontal position. An object with mass 3.70 kg is suspended from a light rope that is attached 4.00 m from the left-hand end of the rod, as shown in the figure below. Take counterclockwise torques to be positive. For an axis at the right-hand end of the rod, what is the torque exerted on the rod by the tension in the rope? 6.00 m |axis 4.00 mA force F=(-5j+3k)N is applied to an object that is a distance r=(2j+6k)m from a pivot point. (a) Calculate the torque on the object.(b) Calculate the angle between r and F.Consider a bar, of length 5.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 23 N and 28 N, and the first force is acting on the end of the bar at an angle of 54° as shown. a)What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen. b)What is the torque, in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen. c)What is the magnitude of the force F3, in newtons, if the force is a distance 0.65 m from the left end and the bar is not rotating?
- true or false?Force F = (-7.0 N)î + (5.0 N) ĵ acts on a particle with position vector7 = (4.0 m)î + (5.0 m) ĵ. (a) What is the torque on the particle about the origin, in unit-vector notation? = N: m (b) What is the angle between the directions of r and Torque is the cross product of a position vector (extending from a chosen point, here the origin, to the particle) and a force vector. Did you take the cross product in unit-vector notation? Do you remember how find the angle between two vectors by taking a dot product in both unit-vector notation and also in magnitude-angle notation? (You can similarly use a cross product to do this.) Do you remember how to find the magnitude of a vector from its components?Two blocks, each of mass 2 kg are suspendedfrom the ends of a rigid massless rod of lengthL. The rod is held horizontally on the fulcrumand then released. The length L1 is 15 cm andthe length L2 is 85 cm. Draw the force diagram for the rod. Clearly label all forces. Write Newton’s 2nd Law equation: (for F of y) Write Newton’s 2nd Law equation: (for net torque) What is the magnitude of the linear acceleration of the block closest to the fulcrum? What is the magnitude of the linear acceleration of the block furthest from the fulcrum?
- Problem 2: A wheel with radius r= 1.8 m has a tangential force F = 14.2 N acting on it as shown. F Part (a) What is the magnitude of the torque about the center of the wheel, in N•m? N•m sin() cos() tan() 7 8 9 НОMЕ cotan() asin() acos() E ↑^^| 4 5 6. atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees Radians VO BACKSPАСЕ DEL CLEAR Part (b) What is the direction of the torque?Is the following statement true or false? Based on convention, a positive torque is the one that causes clockwise rotation; a negative torque is the one that causes counterclockwise rotation. True False