[5](5) By what angle does the accelerometer of the cart, shown in Figure, deflect: [2] (5.a) If the cart is moving toward the right with speed increasing at 3.0 m/s? [2] (5.b) If the cart is moving toward the left with speed decreasing at 3.0 m/s? [1] (5.c) If the cart is moving toward the left with a constant speed of 4.0 m/s? a 1.70 m 1.70 m 1.70 m [8] (8) As shown in Figure, a 1.34 kg ball is connected by means of two massless strings to a vertical, rotating rod. The strings that are tied to the rod, are rigid, and form two sides of an equilateral triangle. The tension in the upper string is 35 N. (a) Draw the free-body diagram for the ball. (b) What is the tension in the lower string? (c) What is the net force on the ball (magnitude and direction) at the instant shown in Figure? (d) What is the speed of the ball? [10] (8) As shown in figure, a 1.34 kg ball is connected by means of two massless strings to a vertical, rotating rod. The strings that are tied to the rod, are rigid, and form two sides of an equilateral triangle. The tension in the upper string is 35 N. What is the speed of the ball? (a) 2.45 m/s (b) 3.34 m/s (c) 4.23 m/s (d) 6.45 m/s (e) 8.32 m/s 1.70 m 1.70 m 1.70 m [8](7) The figure shows a "conical pendulum". Its bob, whose mass m is 1.5 kg, whirls around in a horizontal circle at constant speed v at the end of a cord whose length L, measured to the center of the bob, is 1.7 m. The cord makes an angle of 37 with the vertical. As the bob swings around in a circle, the cord sweeps out the surface of a cone with a period T. a. Draw the free body diagram for the pendulum bob as shown in the Figure. b. Find two general expressions for the speed v and the period T of the bob each in terms of only L and 0. c. Calculate the numerical values of v and T. L 1 A R B [10] (7) The figure shows a "conical pendulum". Its bob, whose mass m is 1.5 kg, whirls around in a horizontal circle at constant speed v at the end of a cord whose length L, measured to the center of the bob, is 1.7 m. The cord makes an angle of 37 with the vertical. As the bob swings around in a circle, the cord sweeps out the surface of a cone with a period T. Calculate the values of v and T. A L (a) (1.35 m/s, 0.34 s) (d) (3.82 m/s, 3.07 s) (b) (2.75 m/s, 1.34 s) (e) (2.75 m/s, 2.34 s) (c) (4.65 m/s, 2.34 s) R B