4. The system can freely rotate about the pivot if it is not balanced. The bar is uniform and its mass (M) is 150 g. The other hanging masses are shown in the Figure. Find the value of 'm' for the system to be in equilibrium. 40 cm 30 cm - 30 cm pivot o M= 150 g 160 g 140 g

7. A bar of mass M and length L=8 meters is pivoted on a fulcrum that is d= 2 meters away from the left end. Attached to the left end, a mass m= 12 kg hangs at rest and keeps the system in equilibrium. What is the mass of the bar? m d M L

2. A boy weighting 600 N sits 2.5 m from the center of the see-saw. If his friend weighs 750 N, how far from the center should his friend sit so that the see-saw balances?

The two objects in the figure are balanced on the pivot. What is distance d?

You’re a highway safety engineer, and you’re asked to specify bolt sizes so the traffic signal shown in the Figure below won’t fall over. The figure indicates the masses and positions of the structure’s various parts. The structure is mounted with two bolts, located symmetrically about the vertical member’s centerline, as shown. What tension force must the left-hand bolt be capable of withstanding?

A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall (see (Figure 1)). a.What is the tension force that keeps this beam in static equilibrium? b.  A mass of 75 kg is hung from the beam 3 meters away from the hinge (see (Figure 2)). Now what is the tension force that keeps this beam in static equilibrium? c.What is the vertical component of the force that the hinge exerts on the beam?

With regard to mechanical equilibrium with respect to forces and torques:  A. Net Forces and Net Torques cannot be positive. B. The Net force and Net Torque vanish for at least one system components. C. Net forces or net torques vanish for all system components. D. Net forces and net torques vanish for all system components.

Questions 1. A uniform meter stick pivoted at its centre, has a 100.0 g mass suspended at the 25.0 cm position. At what position should a 75.0 g mass be suspended to put the system in equilibrium? Show workings. 1 m 75 cm 25 cm 50 cm 75.0 g 100.0 g I

12. Two blocks are placed at the ends of a horizontal massless board, as in the drawing. The board is kept from roating and rests on a support that serves as an axis of rotation. The moment of inertia of this system relative to the axis is 12 kg m². Determine the magnitude of the angular acceleration when the system is allowed to rotate. 0.60 m 12 kg 1.4 m 4.0 kg Axis Support

A baseball bat balances 76.1 cm from one end. If a 0.500 kg glove is attached to that end, the balance point moves 26.7 cm toward the glove. $ % Part A Find the mass of the bat. mbat = Submit Provide Feedback 15. ΑΣΦ Search or type URL MacBook Pro Request Answer & 7 * 00 ? kg