An object of mass m = 0.670 kg is suspended From the ceiling of an accelerating truck as in the figure below. Take a = 3.20 m/sz. (a) Find the angle 9 (in degrees) that the string makes with the vertical. :l (b) Find the tension T(in N) in the string. :IN What If? The truck returns to a constant velocity so that the mass hangs straight down inside the truck, whereby 6 = 0. Later, the truck carefully slows down. During this braking maneuver, the string is observed to make a constant angle of 6 = 23.0 with the vertical. (c) What is the acceleration of the truck (in m/sz) while it is braking? :IW (d) What is the direction of the deflection of the string while the truck is braking? 0 forward 0 backward Consider a conical pendulum with a bob of mass m = 93.0 kg on a string of length L = 10.0 m that makes an angle of 9 = 6.00\" with the vertical. (Consider +i to be towards the center of the circular path and +j to be upward.) Fii m q 1') (9 )Determine the horizontal and vertical components of the force exerted by the string on the pendulum. :~-+:~i (b) Determine the radial acceleration of the bob. E W An axle starts from rest and uniformly increases angular speed to 0.17 rev/'5 in 34 s. (a) What is its angular acceleration in radians per second per second? |:|rads/ (b) Would doubling the angular acceleration during the given period have doubled Final angular speed? D- Yes D No An electric motor rotating a workshop grinding wheel at 1.02 x 102 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.94 rad/s. (a) How long does it take the grinding wheel to stop? S (b) Through how many radians has the wheel turned during the time interval found in part (a)? rad