A1 kg mass is tied to a string and is being swung in a horizontal circle. The mass has a constant angular velocity of 0.3 rad/s. The string has a Young's modulus of 10 X 106 N/m?, and the string's original length is 0.7 m long. The radius of the string is 0.05 cm. How much does the string stretch? You can think of the string as being shaped like a long, thin cylinder. 5.6 mm 2.7 mm 3.2 mm 4.7 mm 3.8 mm

B1

a. A 1200-N uniform boom of length 2.00 m is supported by a cable, as shown in the figure.  The boom is pivoted at the bottom, and a 2000-N weight hands from its top.  Find the tension in the cable and the components of the reaction force exerted on the boom by the floor. For the next two parts you can assume that the 2000-N weight is concentrated at the top end of the boom. b. Determine the total moment of inertia of the boom/weight system around the pivot point. c.  The cable now breaks, and the boom pivots until the right end hits the floor.  Determine the velocity of the right end at the instant before it hits the floor.

A drum is used to drag a [ma]-kg block A up the slope (0 = [0]°). The coefficients of static and kinetic friction between the block and slope are 0.5 and 0.3 respectively. The [mp]-kg drum has a radius of 0.6 m and a radius of gyration of [k] mm. A constant torque of [t] Nm (CCW) is supplied to the drum. Assume the drum pivot is frictionless. „Lightweight cable A 0 T (a) Draw clear free body diagrams of block A and the drum. Values (b) Calculate the acceleration of block A and the tension in the cable. 24.1 MA 13.6 8.4 나나8 mp = k = 149

1. A 97 g ball bobbing up and down on the ocean as the waves roll by has a vertical position that can be described as a function of time by x(t) = cos(10t). What is the force on the ball at a time of 4.6 seconds? Note: The argument of the cosine function is in radians. Hint: Don't forget the sign of the force. F = 6.74 X√ N

An 1500 kg automobile has springs with k = 1.4×104 N/m. One of the tires is not properly balanced; it has a little extra mass on one side compared to the other, causing the car to shake at certain speeds. Part A If the tire radius is 42 cm, at what speed will the wheel shake most? Express your answer using two significant figures. VΞΑΣΦ V = Submit Request Answer ? m/s