Background/ Introduction 1. A small weight at the end of a string of length, L, forming...
7. Alex attaches a small pendulum bob of mass m to a string of length L. James holds the bob so that the string is horizontal and then releases it from rest. At the lowest point of the swing, the string catches on a thin peg a distance R above the lowest point. Show that R must be smaller than 2 if the string is to remain taut as the bob swings around the peg in a full circle Ri
2. (50 points) A uniform rod of length L and mass m is hinged to a wall at one end and suspended from the wall by a cable that is attached to the other end of the rod at an angle of B to the rod (see figure below). Assume the cable has zero mass. There is a contact force at the pivot on the rod. The magnitude and direction of this force is unknown. In this problem you will...
L- Pivot Point 13.) A uniform, thin rod of length L and mass M is allowed to pivot about its end, as shown in the figure above (a) Using integral calculus, derive the rotational inertia for the rod around its end to show that it is ML2/3 The rod is fixed at one end and allowed to fall from the horizontal position A through the vertical position B. (b) Derive an expression for the velocity of the free end of...
1)The string in the figure is L = 100.0 cm long, and the distance d to the fixed peg at point P is 62.5 cm. When the initially stationary ball is released with the string horizontal as shown, it will swing along the dashed arc. What is its speed when it reaches its lowest point 2)What is its speed when it reaches its highest point after the string catches on the peg 3) A constant force of 45.5 N, directed...
Question 1: Hanging block (12 points) A horizontal rod of mass M and length L is attached to a hinge and supported at its end by a massless wire oriented at an angle o relative to the rod. A block of mass 4M is connected to the rod at a distance L/3 from the hinge. The system is in static equilibrium. (a) [2 points) Question: Draw the free-body-diagram, i.e., all external forces acting on the block-rod system. Answer: (b) [7...
A crane is made from a uniform rigid boom of length L = 30m and weight w = 400N. The boom is sup- ported by a frictionless hinge at its lower end. Its upper end is attached to a support cable which is fas- tened behind the boom at the same horizontal level as the hinge. Adjusting the length of the support / cable adjusts the angle of the boom. In a particu- 7/TTI IN lar application, the crane is...
Question 2 and 3! Thanks
l 120 N push is applied to it? B) 98 N ? 147 N D) 120 N E) Need to know how the object is moving 2) Two crates with masses m) - 6 kg and m 3 kg are on a Grictionless horizontal surface and connected by a horizontal string (very light and non-stretchable). You set the system in motion by pulling on crate 1 with a 7 N horizontal force. There is no...
Problem 1 [8 pts] A uniform string of mass m and length L hangs vertically from the ceiling. (a) Find the tension in the rope as a function of distance from the lower end, and therefore determine the speed of a wave pulse as a function of position. (b) Solve by integration 2 = v(y) to determine the time it takes a wave pulse to travel the full length of the string.
1. A uniform horizontal bar of length L = 2.0 m and weight 144 N is pinned to a vertical wall and supported by a thin wire that makes an angle of 0 = 150 with the horizontal. A mass M, with a weight of 302 N, can be moved anywhere along the bar. The wire can withstand a maximum tension of 573 N. What is the maximum possible distance from the wall at which mass M can be placed...
4. In the figure shown, rod AB (M-2 kg, L-2 m, center of mass C located 1 m above ground) is kept on a rough surface (H-0.5). A horizontal force F = 10 N is applied to the rod at point D, and distance CD-L/3 m. This horizontal force F causes the rod to rotate about B. Find initial linear acceleration of the top-most point A of the rod. Figure inset shows moment of inertia of a rod. Ignore air...