Consider the window crank below - note that it's components are not necessarily orthogonal given the following: → a b lies in the yz plane → b c lies in the xy plane the angle between → a b and the z-axis measurement below the z-axis is α = 29 o the angle between → b c and the x-axis measured below the x-axis is θ = 16 o → c d is parallel to the z-axis length of → a b = 2.5 cm length of → b c = 2.5 cm length of → c d = 1.25 cm force applied at of d in the positive x-direction = 3 n

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

Abowling ball rolling down the lane toward the pins has gravitational potential energy. a. no b. a lot of c. a little

The doctor lands his tardis on a planet whose radius is 1.2x10^7m the acceleration due to gravity is 18m/s^2. what is the mass of the planet