To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250 kg and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) How much work does she do? m m²
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- (a) When opening a door, you push on it perpendicularly with a force of 44.0 N at a distance of 0.780 m from the hinges. What torque (in N-m) are you exerting relative to the hinges? (Enter the magnitude.) N-m (b) Does it matter if you push at the same height as the hinges? O Yes O NoThe blades of a blender slow from 3.5 rad /s to 1.8 rad/s while rotating through 1.2 rad. (a) What is the angular acceleration (assumed to be constant) (b) How long does this slowing-down take? (c) Assuming that the angular acceleration stays constant, how much longer would it take for the blades to come to rest?An automobile crankshaft transfers energy from the engine to the axle at the rate of 100 hp (= 74.6 kW) when rotating at a speed of 1800 rev/min.What torque (in newton-meters) does the crankshaft deliver?
- A torque of 50.0 N-m is applied to a grinding wheel (I = 20.0 kg-m2 ) for 20 s. (a) If it starts from rest, what is the angular velocity of the grinding wheel after the torque is removed? (b) Through what angle does the wheel move while the torque is applied?When you hold an ball by only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm with hand is 1.80 kg. The biceps is connected to the forearm a distance of 2.50 cm from the elbow, and it holds a 44.5 N (about 10 lbs) ball at the end of the forearm at distance of 35.0 cm from the elbow. What is the magnitude of the torque about the elbow by the ball, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.The angle between the beam and the floor is 15.0 degrees. The angle between the rope and the horizontal is 31.0 degrees. The beam is 4.10-m long and has a mass of 6.10 kg. The box sits a distance of d = 0.770 m from the upper end of the beam and has a mass of 9.60 kg.What is the torque due only to the weight of the box if the axis is at the hinge?
- When opening a door, you push on it perpendicularly with a force of 62.5 N at a distance of 0.725 m from the hinges.What torque, in newton meters, are you exerting relative to the hinges?A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.Suppose you exert a force of 185N tangential to the outer edge of a grindstone (which is a solid disk) with a radius of 1.56m and a mass of 74kg. What is the angular acceleration of the grindstone αf, in radians per square second, if there is an opposing frictional force of 22.5 N exerted 0.45 m from the axis?