3.51 The cable AB is 0.5 m in length. The unstretched length of the spring is 0.4 m. When the 50-kg mass is suspended at B, the length of the spring increases to 0.45 m. What is the spring constant k? 4=0.4 0.7 m S = 0.45-04 4=0.45 =0.05 0.5 そ タ=0.45

Statics an 2.18 A 200# stone is being lifted off the ground by a lev- ering bar. Determine the push P required to keep the stone in the position shown. Varignon's Theorem The French mathematician Pierre Varignon developed a very important theorem of statics. It states that the mo- ment of a force about a point (axis) is equal to the algebraic 1W=200* 3011 36" 47

A 4.2‑kg brown hare walks on a horizontal beam (the beam's mass m = 2.8 kg and length a = 2.4 m). The beam is suspended with two ropes attached to the ends of the beam. What should be the distance between the hare and the left end of the beam so that the tension in the left rope is three times as big as the tension in the right rope?   1. The distance from the left end, b = If the hare is at the distance found in the previous question, calculate the tension in each rope. 2. The tension in the left rope, T1 = 3. The tension in the right rope, T2 =   ------------------------------------------------------------------   A bike wheel has a radius of R = 0.62 m and a mass of m = 2.6 kg spins at 270 rpm. What is the angular momentum of the wheel? Assume that the wheel has a shape of a ring. The angular momentum of the wheel, L ?   A typical bowling ball might have a mass of 7 kg and a radius of 12 cm. How fast the ball should spin to have the same angular momentum as the wheel from the…

Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m are aligned vertically, as shown in figure 1. A block of mass m = 0.12 kg is placed on the bottom spring. The distance between the top of the box and the top spring is h = 0.35 m. You compress the bottom spring Ay = 0.3 m from its equilibrium position (figure 2). When you let go, the box flies up (figure 3) and compresses the top spring (figure 4). Treat the upward direction (↑) as positive, such that the compression of the top spring is a positive displacement. What is the maximum compression of the top spring due to the flying box? Give your answer in units of meters to 2 decimal places. Use g = 9.8 m/s^2. Assume air resistance is negligible. T h EW Ay (2) www Backup link to image (opens in new tab). fumand M риту 4 ² ↑ M ? www