DATA You are to use a long, thin wire to build a pendulum in a science museum. The wire has an unstretched length of 22.0 m and a circular cross section of diameter 0.860 mm; it is made of an alloy that has a large breaking stress. One end of the wire will be attached to the ceiling, and a 9.50-kg metal sphere will be attached to the other end. As the pendulum swings back and forth, the wire’s maximum angular displacement from the vertical will be 36.0°. You must determine the maximum amount the wire will stretch during this motion. So, before you attach the metal sphere, you suspend a test mass (mass m ) from the wire’s lower end. You then measure the increase in length Δ l of the wire for several different test masses. Figure P11.86 , a graph of Δ l versus m , shows the results and the straight line that gives the best fit to the data. The equation for this line is Δ l = (0.422 mm/kg) m . (a) Assume that g = 9.80 m/s 2 , and use Fig. P11.86 to calculate Young’s modulus Y for this wire, (b) You remove the test masses, attach the 9.50-kg sphere, and release the sphere from rest, with the wire displaced by 36.0°. Calculate the amount the wire will stretch as it swings through the vertical. Ignore air resistance.
DATA You are to use a long, thin wire to build a pendulum in a science museum. The wire has an unstretched length of 22.0 m and a circular cross section of diameter 0.860 mm; it is made of an alloy that has a large breaking stress. One end of the wire will be attached to the ceiling, and a 9.50-kg metal sphere will be attached to the other end. As the pendulum swings back and forth, the wire’s maximum angular displacement from the vertical will be 36.0°. You must determine the maximum amount the wire will stretch during this motion. So, before you attach the metal sphere, you suspend a test mass (mass m ) from the wire’s lower end. You then measure the increase in length Δ l of the wire for several different test masses. Figure P11.86 , a graph of Δ l versus m , shows the results and the straight line that gives the best fit to the data. The equation for this line is Δ l = (0.422 mm/kg) m . (a) Assume that g = 9.80 m/s 2 , and use Fig. P11.86 to calculate Young’s modulus Y for this wire, (b) You remove the test masses, attach the 9.50-kg sphere, and release the sphere from rest, with the wire displaced by 36.0°. Calculate the amount the wire will stretch as it swings through the vertical. Ignore air resistance.
DATA You are to use a long, thin wire to build a pendulum in a science museum. The wire has an unstretched length of 22.0 m and a circular cross section of diameter 0.860 mm; it is made of an alloy that has a large breaking stress. One end of the wire will be attached to the ceiling, and a 9.50-kg metal sphere will be attached to the other end. As the pendulum swings back and forth, the wire’s maximum angular displacement from the vertical will be 36.0°. You must determine the maximum amount the wire will stretch during this motion. So, before you attach the metal sphere, you suspend a test mass (mass m) from the wire’s lower end. You then measure the increase in length Δl of the wire for several different test masses. Figure P11.86, a graph of Δl versus m, shows the results and the straight line that gives the best fit to the data. The equation for this line is Δl = (0.422 mm/kg)m. (a) Assume that g = 9.80 m/s2, and use Fig. P11.86 to calculate Young’s modulus Y for this wire, (b) You remove the test masses, attach the 9.50-kg sphere, and release the sphere from rest, with the wire displaced by 36.0°. Calculate the amount the wire will stretch as it swings through the vertical. Ignore air resistance.
Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.
1.21 A postal employee drives a delivery truck along the route
shown in Fig. E1.21. Determine the magnitude and direction of the
resultant displacement by drawing a scale diagram. (See also Exercise
1.28 for a different approach.)
Figure E1.21
START
2.6 km
4.0 km
3.1 km
STOP
help because i am so lost and it should look something like the picture
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