A long thin rod is pinned so that it can rotate around a point onefourth of the length of the rod from its right end; as shown in the gure loelow. A force F acls downward in the gure at the right end of the rod. Which of the two other forces shown in the gure could generate a torque that would cancel out the torque about the pivot by the force F? :3 l 4 DE DE A physical pendulum has a mass of 1.27 kg and a moment of inertia of 1.77 kg'm swings back and forth with a period of 3.81 s. What is the distance between the center of mass and the point the pendulum pivots about? 0 0.0616 m O0.235 m 01.47 m 0 0.387 mIf the wavelength of a wave is 22.0 cm, what is the angular wave number of the wave in SI units? O 28.6 m-1 0 0.0350 m-1 0 0.286 m- 0 3.50 m-1Cine end of a beam with a length of 4.DIZI rn is attached to a wall bya hinge. The beam is held horizontally by a cable tied to the other end of the beam. The cable makes an angle of 33.0\" with the horizontal. A box with a weight of 35.0 N sits on the beam. mo-thirds ofthe length of the beam from the wall. In which direction does the torque about the hinge due to the weight ofthe beam point? CI Into the page CI Glut of the page Cl Left :3 Right CI Up CI Down The motion of a simple harmonic oscillator is given by the equation = = 11.8 cos(3.89t + 0.480), where I is given in units of centimeters. Which of the following answers gives a time when the oscillator is located 7.94 cm away from equilibrium? O-0.394 5 O-0.266 5 O-0.290 5 O-0.162 5A wave has an angular frequency of 8.22 x10# rad/s and an angular wavelength of 39.6 rad/m. What is the speed of the wave? 0 1,300 m/s O 0.00482 m/s O 33.0 m/5 O 208 m/sA uniform square plate with sides of 2.31 m is pinned so that it can rotate about a pivot at the lower left corner of the plate, as shown in the figure below. A force F with a magnitude of 128 N is directed to the right and acts half way up the left side of the plate. Which of the two forces acting at the top right corner of the plate generates a torque about the pivot that points in the opposite direction as the torque generated by F? F2 F1 F pivot OF OFA mass and spring system oscillates l:-a ck and forth on a horizontal frictionless surface. lfthe mass is at its maximum displacement from equilibrium in the zdirectionl which of the following statements is correct? 0 The a cceleration of the mass is zero 0 The acceleration of the mass is at its maximum magnitude ancl points in the 2:elirection O The acceleration of the mass is at H: maximum magnitude and points in the +z-direction \fThe image below shows the bird's-eye View of a longr thin rod that is pinned so that it can rotate about its center. Three forces act on the rod. Force F1 is directed straight up and acts onchourth of the way from the end of the rod. Force F3 acts at the center ofthe rod and makes an angle of c: = 41.1)\"; with the rod. Force F3 acts at the far end ofthe rod and makes an angle of ,3 = 19.3\" with the 1.iertical. Which force exerts a torque about the pivot that points out of the gure as it is drawn? DE OF; DE A 3.34 kg mass is attached to one end of a spring. It is pulled a distance of 6.19 cm away from equilibrium and released. If the mass and spring system has a total mechanical energy of 1.31), what is the spring constant of the spring? 0 0.0684 N/m 0 68.4 N/m O 423 N/m O 684 N/m 0 0.423 N/m\fA uniform square plate with sides of 1 .65 rn is pinned so that it can rotate about a pivot at the lower left corner ofthe plater as shown in the gure below. A force 1:1. with a magnitude of 'l 69 N acts at the top right corner ofthe plate and makes an angle of 38.4\" with its right edge. pivot E {a} What is the magnitude of the torque generated about the pivot by the force F? 024-5 N*m 02?? N*m 0392 N*m 0123 N*m [lo] IWhich ofthe two forces acting at the top left corner ofthe plate generates a torque about the pivot that points in the opposite direction as the torque generated by F? oF'g 013:1 The graph below shows the displacement from equilibrium for a spring and mass system as it bounces back and forth across a frictionless horizontal surface. Which answer below gives the best approximation of the amplitude of the mass' motion? r (m) 1.2 0.8 0.44 -0.4 -0.8 -12 0 0.6 m 00.8 m 01.2 m 01.0 m 00.4 m\fThe image below shows the bird's-eye view of a long, thin rod that is pinned so that it can rotate about its center. Three forces act on the rod. Force F1 makes an angle d = 28.0: and acts one-third of the way from the end of the rod. Force '% acts at the center of the rod and points straight up. Force Fig acts at the far end of the rod and points straight down. Which force exerts no torque about the pivot? F1 F3 L F2 OF3 OFA 210 3 mass bounces ha ck and forth an the end of a spring with a spring constant of 61? Wm. What is the period of the mention of the mass? 0 3.53 S O 3.5? 5 01.?15 054.25 011116 5 00.2?3 5 A 2.38 kg mass is attached to one end of a spring with a spring constant of 700 N/m. The spring is arranged so that the mass can bounce back and forth on a frictionless horizontal surface. The mass is pulled 0.122 m away from equilibrium in the + x direction and released. What is the acceleration of the mass after it has been oscillating for 1.87 s? O-21.8 m/5- O-0.000412 m/s2 O-0.0968 m/s- O 28.5 m/s- O-0.0000451 m/s- O-28.5 m/5